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## Liu, Kefeng

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 Author ID: liu.kefeng Published as: Lin, Kefeng; Liu, K.; Liu, Ke Feng; Liu, Ke-Feng; Liu, Ke-feng; Liu, KeFeng; Liu, Kefeng Homepage: http://www.math.ucla.edu/~liu/ External Links: MGP · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 177 Publications since 1992, including 9 Books Biographic References: 2 Publications
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#### Co-Authors

 24 single-authored 36 Yau, Shing-Tung 15 Kong, Dexing 15 Lian, Bong H. 14 Ma, Xiaonan 13 Xu, Hao 12 Yang, Xiao-Kui 10 Sun, Xiaofeng 9 Ji, Lizhen 9 Zhang, Weiping 8 Zhou, Jian 7 Wan, Xueyuan 5 Feng, Huitao 5 Liu, Chiu-Chu Melissa 5 Wang, Yong 4 Han, Fei 4 Peng, Pan 4 Shen, Yang 4 Xu, Hongwei 4 Zhao, En-Tao 3 Dai, Xianzhe 3 Dong, Chongying 3 Li, Ping 3 Liu, Chien-Hao 3 Rao, Sheng 3 Yang, Lo 2 Chen, Xiaojing 2 Dai, Wenrong 2 Dai, Xingyu 2 He, Chunlei 2 Hong, Mei 2 Kim, Yon-Seo 2 Li, Fang 2 Li, Jun 2 Shen, Ming 2 Todorov, Andrey N. 2 Wang, Yuzhu 2 Ye, Fei 2 Zhang, Ren 2 Zuo, Kang 1 Bogomolov, Fedor Alekseivich 1 Cao, Junliang 1 Chen, Lin 1 Chen, Qingtao 1 Cheng, Shiu-Yuen 1 Dong, Fangfang 1 Fine, Joel 1 Gong, Donggeng 1 Guan, Feng 1 He, Jie 1 Hu, Sen 1 Kang, Ming-Chang 1 Kazhdan, David A. 1 Kontsevich, Maxim Lvovich 1 Li, Yi 1 Li, Yi 1 Lian, Lian 1 Liu, Chunxiao 1 Manin, Yuri Ivanovich 1 Mulase, Motohico 1 Shu, Chi-Wang 1 Tu, Jie 1 Vakil, Ravi 1 Wan, Qilin 1 Wang, Huizan 1 Wang, Qiuzhi 1 Wang, Zenggui 1 Wu, Yunhui 1 Xia, Wei 1 Xu, Deliang 1 Xue, Feng 1 Yan, Catherine Huafei 1 Yu, Dandan 1 Zheng, Zhujun 1 Zhu, Chongyuan 1 Zhu, Shengfeng 1 Zhu, Shengmao 1 Zhuang, Xiaobo
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#### Serials

 15 Mathematical Research Letters 13 Pure and Applied Mathematics Quarterly 12 The Asian Journal of Mathematics 11 Science China. Mathematics 10 Journal of Differential Geometry 6 Science in China. Series A 4 International Journal of Mathematics 4 Communications in Analysis and Geometry 4 Advanced Lectures in Mathematics (ALM) 3 Transactions of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Journal of Algebraic Geometry 3 ICCM Notices 2 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Advances in Theoretical and Mathematical Physics 2 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Physics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology 1 Applied Mathematics and Mechanics. (English Edition) 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Imaging and Vision 1 Nuclear Physics, B, Proceedings Supplements 1 Methods and Applications of Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Jiangsu University of Science and Technology. Natural Science Edition 1 AMS/IP Studies in Advanced Mathematics 1 Communications in Number Theory and Physics 1 Chinese Journal of Engineering Mathematics
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#### Fields

 68 Algebraic geometry (14-XX) 55 Differential geometry (53-XX) 50 Global analysis, analysis on manifolds (58-XX) 42 Several complex variables and analytic spaces (32-XX) 33 Manifolds and cell complexes (57-XX) 21 Quantum theory (81-XX) 13 Partial differential equations (35-XX) 12 General and overarching topics; collections (00-XX) 10 Number theory (11-XX) 9 $$K$$-theory (19-XX) 9 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

115 Publications have been cited 916 times in 596 Documents Cited by Year
Mirror principle. I. Zbl 0953.14026
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1997
On the asymptotic expansion of Bergman kernel. Zbl 1099.32003
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2006
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
A mathematical theory of the topological vertex. Zbl 1184.14084
Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2009
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2003
Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129
Liu, Kefeng; Peng, Pan
2010
A formula of two-partition Hodge integrals. Zbl 1111.14053
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2007
Calabi flow and projective embeddings. Zbl 1202.32018
Fine, Joel; Liu, Kefeng; Ma, Xiaonan
2010
On modular invariance and rigidity theorems. Zbl 0836.57024
Liu, Kefeng
1995
Geometry of Hermitian manifolds. Zbl 1248.53055
Liu, Ke-Feng; Yang, Xiao-Kui
2012
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
2007
Modular invariance and characteristic numbers. Zbl 0867.57021
Liu, Kefeng
1995
Ricci curvatures on Hermitian manifolds. Zbl 1365.53065
Liu, Kefeng; Yang, Xiaokui
2017
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084
Kong, Dexing; Liu, Kefeng; Wang, Yuzhu
2010
Geometric height inequalities. Zbl 0867.11044
Liu, Kefeng
1996
On elliptic genera and theta-functions. Zbl 0858.57034
Liu, Kefeng
1996
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
2009
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
2009
Mirror principle. III. Zbl 1009.14006
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
Topological string partition functions as equivariant indices. Zbl 1129.14024
Li, Jun; Liu, Kefeng; Zhou, Jian
2006
Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017
Liu, Kefeng; Rao, Sheng; Yang, Xiaokui
2015
Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053
Chen, Lin; Li, Yi; Liu, Kefeng
2008
Holomorphic equivariant cohomology. Zbl 0835.14006
Liu, Kefeng
1995
Remarks on the Cartan formula and its applications. Zbl 1243.53115
Liu, Kefeng; Rao, Sheng
2012
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2010
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2008
On family rigidity theorems. I. Zbl 0988.58010
Liu, Kefeng; Ma, Xiaonan
2000
Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205
Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu
2011
Elliptic genus and vertex operator algebras. Zbl 1144.58014
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2005
On the asymptotic expansion of Bergman kernel. Zbl 1057.58018
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2004
Mirror principle. II. Zbl 0974.14025
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Heat kernel and moduli space. Zbl 0871.58014
Liu, Kefeng
1996
Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2016
Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2013
Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui
2013
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
2010
On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2004
Rigidity and vanishing theorems in $$K$$-theory. Zbl 1087.58014
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2003
A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2012
Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025
Han, Fei; Liu, Kefeng; Zhang, Weiping
2012
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
2011
Some remarks on circle action on manifolds. Zbl 1238.53016
Li, Ping; Liu, Kefeng
2011
On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155
Liu, Kefeng; Peng, Pan
2010
Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces. Zbl 1215.14027
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2010
Good geometry on the curve moduli. Zbl 1219.14012
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2008
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014
Liu, Kefeng; Ma, Xiaonan
2007
Heat kernel and moduli spaces. II. Zbl 0886.58013
Liu, Kefeng
1997
Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031
Liu, Kefeng; Yang, Xiaokui
2014
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
2010
Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2006
On orbifold elliptic genus. Zbl 1042.58010
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2002
Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062
Liu, Ke Feng; Yang, Xiao Kui
2018
The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2018
Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080
Liu, Kefeng; Yang, Xiaokui
2014
New structures of knot invariants. Zbl 1247.81391
Liu, Kefeng; Peng, Pan
2011
The $$S^1$$ fixed points in quot-schemes and mirror principle computations. Zbl 1067.14056
Lian, Bong H.; Liu, Chien-Hao; Liu, Kefeng; Yau, Shing-Tung
2003
$$\text{Spin}^C$$ manifolds and rigidity theorems in $$K$$-theory. Zbl 0995.58015
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2000
Heat kernels, symplectic geometry, moduli spaces and finite groups. Zbl 1001.53060
Liu, Kefeng
1999
Modular forms and topology. Zbl 0974.58020
Liu, Kefeng
1996
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
2017
A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040
Liu, KeFeng; Wang, Yong
2013
Circle action and some vanishing results on manifolds. Zbl 1251.57019
Li, Ping; Liu, Kefeng
2011
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
2011
Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047
Liu, Kefeng; Wang, Yong
2009
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
2008
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2005
Adiabatic limits and foliations. Zbl 0987.53022
Liu, Kefeng; Zhang, Weiping
2001
Elliptic genus and $$\eta$$-invariant. Zbl 0846.57017
Liu, Kefeng; Zhang, Weiping
1994
On mod 2 and higher elliptic genera. Zbl 0763.58026
Liu, Kefeng
1992
Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2019
A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
On an algebraic formula and applications to group action on manifolds. Zbl 1282.19007
Li, Ping; Liu, Kefeng
2013
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
Finiteness of subfamilies of Calabi-Yau $$n$$-folds over curves with maximal length of Yukawa-coupling. Zbl 1316.14077
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2011
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. Zbl 1194.14040
Liu, Kefeng; Xu, Hao
2009
On family rigidity theorems for $$\text{Spin}^c$$ manifolds. Zbl 1107.58010
Liu, Kefeng; Ma, Xiaonan
2002
On elliptic genera and foliations. Zbl 0986.57023
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2001
Mirror principle. III. Zbl 1047.14502
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
2000
The Candelas-de la Ossa-Green-Parkes formula. Zbl 0988.81104
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1998
Remarks on the geometry of moduli spaces. Zbl 0873.14031
Liu, Kefeng
1996
Remarks on nonabelian localization. Zbl 0858.57039
Liu, Kefeng
1995
Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040
Liu, Kefeng; Rao, Sheng; Wan, Xueyuan
2019
Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds. Zbl 1409.14071
Liu, Kefeng; Xia, Wei
2019
Compact Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1390.32013
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Hodge metric completion of the moduli space of Calabi-Yau manifolds. Zbl 1387.32031
Liu, Kefeng; Shen, Yang
2017
Modular invariance and anomaly cancellation formulas in odd dimension. Zbl 1330.58007
Liu, Kefeng; Wang, Yong
2016
Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043
Liu, Kefeng; Yang, Xiaokui
2015
New structure for orthogonal quantum group invariants. Zbl 1328.57013
Chen, Qingtao; Liu, Kefeng
2015
Affine structures on Teichmüller spaces and applications. Zbl 1302.32019
Chen, Xiaojing; Guan, Feng; Liu, Kefeng
2014
Anomaly cancellation and modularity. Zbl 1299.81039
Han, Fei; Liu, Kefeng; Zhang, Weiping
2014
Gravitational anomaly cancellation and modular invariance. Zbl 1291.53061
Han, Fei; Liu, Kefeng
2014
Geodesic-Einstein metrics and nonlinear stabilities. Zbl 1415.53058
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2019
Geometry of logarithmic forms and deformations of complex structures. Zbl 1429.32040
Liu, Kefeng; Rao, Sheng; Wan, Xueyuan
2019
Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds. Zbl 1409.14071
Liu, Kefeng; Xia, Wei
2019
Minimal complex surfaces with Levi-Civita Ricci-flat metrics. Zbl 1401.53062
Liu, Ke Feng; Yang, Xiao Kui
2018
The extension and convergence of mean curvature flow in higher codimension. Zbl 1380.53076
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2018
Ricci curvatures on Hermitian manifolds. Zbl 1365.53065
Liu, Kefeng; Yang, Xiaokui
2017
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
2017
A Donaldson type functional on a holomorphic Finsler vector bundle. Zbl 1381.53141
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Compact Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1390.32013
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2017
Hodge metric completion of the moduli space of Calabi-Yau manifolds. Zbl 1387.32031
Liu, Kefeng; Shen, Yang
2017
Chern forms of holomorphic Finsler vector bundles and some applications. Zbl 1342.53099
Feng, Huitao; Liu, Kefeng; Wan, Xueyuan
2016
Modular invariance and anomaly cancellation formulas in odd dimension. Zbl 1330.58007
Liu, Kefeng; Wang, Yong
2016
Quasi-isometry and deformations of Calabi-Yau manifolds. Zbl 1318.32017
Liu, Kefeng; Rao, Sheng; Yang, Xiaokui
2015
Effective vanishing theorems for ample and globally generated vector bundles. Zbl 1342.14043
Liu, Kefeng; Yang, Xiaokui
2015
New structure for orthogonal quantum group invariants. Zbl 1328.57013
Chen, Qingtao; Liu, Kefeng
2015
Curvatures of direct image sheaves of vector bundles and applications. Zbl 1293.32031
Liu, Kefeng; Yang, Xiaokui
2014
Hermitian harmonic maps and non-degenerate curvatures. Zbl 1315.53080
Liu, Kefeng; Yang, Xiaokui
2014
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
Affine structures on Teichmüller spaces and applications. Zbl 1302.32019
Chen, Xiaojing; Guan, Feng; Liu, Kefeng
2014
Anomaly cancellation and modularity. Zbl 1299.81039
Han, Fei; Liu, Kefeng; Zhang, Weiping
2014
Gravitational anomaly cancellation and modular invariance. Zbl 1291.53061
Han, Fei; Liu, Kefeng
2014
Mean curvature flow of higher codimension in hyperbolic spaces. Zbl 1288.53061
Liu, Kefeng; Xu, Hongwei; Ye, Fei; Zhao, Entao
2013
Positivity and vanishing theorems for ample vector bundles. Zbl 1264.14057
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui
2013
A note on modular forms and generalized anomaly cancellation formulas. Zbl 1278.53040
Liu, KeFeng; Wang, Yong
2013
On an algebraic formula and applications to group action on manifolds. Zbl 1282.19007
Li, Ping; Liu, Kefeng
2013
Geometry of Hermitian manifolds. Zbl 1248.53055
Liu, Ke-Feng; Yang, Xiao-Kui
2012
Remarks on the Cartan formula and its applications. Zbl 1243.53115
Liu, Kefeng; Rao, Sheng
2012
A remark on weighted Bergman kernels on orbifolds. Zbl 1277.32022
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2012
Modular forms and generalized anomaly cancellation formulas. Zbl 1314.11025
Han, Fei; Liu, Kefeng; Zhang, Weiping
2012
Computing top intersections in the tautological ring of $${\mathcal{M}_g}$$. Zbl 1276.14041
Liu, Kefeng; Xu, Hao
2012
Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205
Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu
2011
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
2011
Some remarks on circle action on manifolds. Zbl 1238.53016
Li, Ping; Liu, Kefeng
2011
New structures of knot invariants. Zbl 1247.81391
Liu, Kefeng; Peng, Pan
2011
Circle action and some vanishing results on manifolds. Zbl 1251.57019
Li, Ping; Liu, Kefeng
2011
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
2011
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
Finiteness of subfamilies of Calabi-Yau $$n$$-folds over curves with maximal length of Yukawa-coupling. Zbl 1316.14077
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2011
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
Proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1217.81129
Liu, Kefeng; Peng, Pan
2010
Calabi flow and projective embeddings. Zbl 1202.32018
Fine, Joel; Liu, Kefeng; Ma, Xiaonan
2010
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084
Kong, Dexing; Liu, Kefeng; Wang, Yuzhu
2010
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2010
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
2010
On a proof of the Labastida-Mariño-Ooguri-Vafa conjecture. Zbl 1223.81155
Liu, Kefeng; Peng, Pan
2010
Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces. Zbl 1215.14027
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2010
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
2010
Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18–21, 2007. Zbl 1185.11005
Ji, Lizhen (ed.); Liu, Kefeng (ed.); Yau, Shing-Tung (ed.); Zheng, Zhu-Jun (ed.)
2010
A mathematical theory of the topological vertex. Zbl 1184.14084
Li, Jun; Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2009
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
2009
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
2009
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
Rigidity theorems on odd-dimensional manifolds. Zbl 1242.53047
Liu, Kefeng; Wang, Yong
2009
Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. Zbl 1194.14040
Liu, Kefeng; Xu, Hao
2009
Adiabatic limits, vanishing theorems and the noncommutative residue. Zbl 1193.53120
Liu, KeFeng; Wang, Yong
2009
Intersection numbers and automorphisms of stable curves. Zbl 1223.14029
Liu, Kefeng; Xu, Hao
2009
Virasoro constraints and Hurwitz numbers through asymptotic analysis. Zbl 1222.14120
Kim, Yon-Seo; Liu, Kefeng
2009
Localization, Hurwitz numbers and the Witten conjecture. Zbl 1208.14053
Chen, Lin; Li, Yi; Liu, Kefeng
2008
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2008
Good geometry on the curve moduli. Zbl 1219.14012
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2008
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
2008
Harmonic maps between compact Hermitian manifolds. Zbl 1183.58012
Liu, KeFeng; Yang, XiaoKui
2008
New results on the geometry of the moduli space of Riemann surfaces. Zbl 1152.14013
Liu, KeFeng; Sun, XiaoFeng; Yau, Shing-Tung
2008
A formula of two-partition Hodge integrals. Zbl 1111.14053
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2007
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
2007
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
A remark on ‘Some numerical results in complex differential geometry’ S. K. Donaldson. Zbl 1175.32014
Liu, Kefeng; Ma, Xiaonan
2007
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
On the asymptotic expansion of Bergman kernel. Zbl 1099.32003
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2006
Topological string partition functions as equivariant indices. Zbl 1129.14024
Li, Jun; Liu, Kefeng; Zhou, Jian
2006
Mariño-Vafa formula and Hodge integral identities. Zbl 1102.14018
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2006
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Elliptic genus and vertex operator algebras. Zbl 1144.58014
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2005
Shafarevich’s conjecture for CY manifolds I. Zbl 1106.14024
Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang
2005
Geometric aspects of the moduli space of Riemann surfaces. Zbl 1128.32008
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
On the asymptotic expansion of Bergman kernel. Zbl 1057.58018
Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
2004
On a proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1094.14043
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2004
A proof of a conjecture of Mariño-Vafa on Hodge integrals. Zbl 1077.14084
Liu, Chiu-Chu Melissa; Liu, Kefeng; Zhou, Jian
2003
Rigidity and vanishing theorems in $$K$$-theory. Zbl 1087.58014
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2003
The $$S^1$$ fixed points in quot-schemes and mirror principle computations. Zbl 1067.14056
Lian, Bong H.; Liu, Chien-Hao; Liu, Kefeng; Yau, Shing-Tung
2003
On orbifold elliptic genus. Zbl 1042.58010
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2002
On family rigidity theorems for $$\text{Spin}^c$$ manifolds. Zbl 1107.58010
Liu, Kefeng; Ma, Xiaonan
2002
Hirzebruch $$\chi_y$$ genera of the Hilbert schemes of surfaces by localization formula. Zbl 1100.58502
Liu, Kefeng; Yan, Catherine; Zhou, Jian
2002
Adiabatic limits and foliations. Zbl 0987.53022
Liu, Kefeng; Zhang, Weiping
2001
On elliptic genera and foliations. Zbl 0986.57023
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2001
On family rigidity theorems. I. Zbl 0988.58010
Liu, Kefeng; Ma, Xiaonan
2000
$$\text{Spin}^C$$ manifolds and rigidity theorems in $$K$$-theory. Zbl 0995.58015
Liu, Kefeng; Ma, Xiaonan; Zhang, Weiping
2000
Mirror principle. III. Zbl 1047.14502
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
2000
Mirror principle. IV. Zbl 1124.14303
Lian, Bong H.; Liu, Kefeng; Yau, Shing-tung
2000
Mirror principle. III. Zbl 1009.14006
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Mirror principle. II. Zbl 0974.14025
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Heat kernels, symplectic geometry, moduli spaces and finite groups. Zbl 1001.53060
Liu, Kefeng
1999
Mirror principle. II. Zbl 0999.14011
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Mirror principle. I. Zbl 0999.14010
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1999
Mirror principle, a survey. Zbl 0984.81128
Lian, Bong H.; Lin, Kefeng; Yau, Shing-Tung
1999
The Candelas-de la Ossa-Green-Parkes formula. Zbl 0988.81104
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1998
...and 15 more Documents
all top 5

#### Cited by 633 Authors

 37 Liu, Kefeng 19 Ma, Xiaonan 16 Zhou, Jian 14 Marinescu, George 13 Kong, Dexing 12 Yang, Xiao-Kui 11 Wang, Yong 11 Yau, Shing-Tung 10 Liu, Chiu-Chu Melissa 10 Xu, Hao 9 Han, Fei 9 Morozov, Alexei Yurievich 8 Wei, Changhua 8 Zhang, Weiping 8 Zhu, Shengmao 7 Ross, Dustin 7 Wang, Zenggui 7 Zinger, Aleksey 7 Zuo, Kang 6 Deng, FuSheng 6 Mironov, Andrei D. 6 Pandharipande, Rahul 6 Rao, Sheng 6 Tan, Sheng-Li 6 Wan, Xueyuan 5 Chen, Qingtao 5 Dessai, Anand Naique 5 Diaconescu, Duiliu-Emanuel 5 Fang, Bohan 5 Fornæss, John Erik 5 Jinzenji, Masao 5 Mulase, Motohico 5 Ruan, Yongbin 5 Shadrin, Sergey V. 5 Zhang, Liyou 5 Zheng, Fangyang 5 Zong, Zhengyu 4 Bryan, Jim 4 Chang, Huai-Liang 4 Dubrovin, Boris Anatol’evich 4 Hsiao, Chin-Yu 4 Huang, Chunle 4 Iritani, Hiroshi 4 Kordyukov, Yuri A. 4 Li, Jun 4 Liu, Bo 4 Morozov, Andreĭ Alekseevich 4 Shen, Ming 4 Sleptsov, Alexey 4 Tseng, Hsian-Hua 4 Vakil, Ravi 4 Wang, Yuzhu 4 Wang, Zhiwei 4 Wolpert, Scott A. 4 Woodward, Christopher T. 4 Wu, Yunhui 4 Yang, Di 4 Zhuang, Xiaobo 4 Zimmer, Andrew M. 3 Coates, Tom 3 Dong, Chongying 3 Eynard, Bertrand 3 Feng, Zhiming 3 Ghigi, Alessandro 3 Ioos, Louis 3 Keller, Julien 3 Lee, Yuan-Pin 3 Li, Ping 3 Li, Si 3 Liu, Siqi 3 Liu, Xiaobo 3 Lu, Wen 3 Lu, Xin 3 Maulik, Davesh 3 Okun’kov, Andreĭ Yur’evich 3 Ramadevi, Pichai 3 Sabatini, Silvia 3 Seyyedali, Reza 3 Sun, Xiaofeng 3 Szabo, Richard J. 3 Wang, Guodong 3 Wang, Jinhua 3 Wold, Erlend Fornæss 3 Xia, Wei 3 Xu, Wan-Yuan 3 Zhang, Youjin 3 Zhao, Quanting 3 Zhu, Shengfeng 2 Angella, Daniele 2 Aryasomayajula, Anilatmaja 2 Auvray, Hugues 2 Azami, Shahroud 2 Berman, Robert J. 2 Brézin, Edouard 2 Brini, Andrea 2 Bruzzo, Ugo 2 Buryak, Alexandr Y. 2 Bytsenko, Andrei A. 2 Cavalieri, Renzo 2 Chaichian, Masud ...and 533 more Authors
all top 5

#### Cited in 146 Serials

 30 Transactions of the American Mathematical Society 30 Science China. Mathematics 26 Advances in Mathematics 24 Journal of Geometry and Physics 24 The Journal of Geometric Analysis 21 Communications in Mathematical Physics 17 International Journal of Mathematics 17 Geometry & Topology 16 Journal of High Energy Physics 15 Mathematische Annalen 15 Mathematische Zeitschrift 15 Acta Mathematica Sinica. English Series 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Letters in Mathematical Physics 11 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 10 Duke Mathematical Journal 9 Science in China. Series A 9 Differential Geometry and its Applications 9 Journal of Algebraic Geometry 8 Inventiones Mathematicae 8 Journal of Differential Equations 7 Annales de l’Institut Fourier 7 Annals of Global Analysis and Geometry 7 Journal of the American Mathematical Society 5 International Journal of Modern Physics A 5 Journal of Functional Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Frontiers of Mathematics in China 4 Journal of Mathematical Physics 4 Nuclear Physics. B 4 Journal of Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Topology and its Applications 4 Chinese Annals of Mathematics. Series B 4 Transformation Groups 4 Annales Henri Poincaré 3 Geometriae Dedicata 3 Michigan Mathematical Journal 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Hyperbolic Differential Equations 3 Boundary Value Problems 3 Japanese Journal of Mathematics. 3rd Series 3 Communications in Mathematics and Statistics 2 Modern Physics Letters A 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Compositio Mathematica 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Communications in Partial Differential Equations 2 Journal of Knot Theory and its Ramifications 2 Journal of Mathematical Imaging and Vision 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Calculus of Variations and Partial Differential Equations 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Annals of Combinatorics 2 Complex Analysis and Operator Theory 2 Journal of Noncommutative Geometry 2 Complex Manifolds 1 Modern Physics Letters B 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics ...and 46 more Serials
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#### Cited in 47 Fields

 255 Differential geometry (53-XX) 229 Algebraic geometry (14-XX) 167 Several complex variables and analytic spaces (32-XX) 105 Global analysis, analysis on manifolds (58-XX) 75 Manifolds and cell complexes (57-XX) 72 Quantum theory (81-XX) 62 Partial differential equations (35-XX) 23 Number theory (11-XX) 19 Relativity and gravitational theory (83-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Combinatorics (05-XX) 17 Nonassociative rings and algebras (17-XX) 17 Algebraic topology (55-XX) 16 Functions of a complex variable (30-XX) 15 $$K$$-theory (19-XX) 10 Fluid mechanics (76-XX) 8 Topological groups, Lie groups (22-XX) 8 Operator theory (47-XX) 6 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 5 Commutative algebra (13-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

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