## Iritani, Hiroshi

Compute Distance To:
 Author ID: iritani.hiroshi Published as: Iritani, Hiroshi
 Documents Indexed: 32 Publications since 2006, including 1 Book Co-Authors: 21 Co-Authors with 22 Joint Publications 202 Co-Co-Authors
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### Co-Authors

 10 single-authored 12 Coates, Tom 5 Tseng, Hsian-Hua 4 Corti, Alessio 3 Jiang, Yunfeng 2 Galkin, Sergeĭ 2 Gonzalez, Eduardo 2 Milanov, Todor E. 2 Ruan, Yongbin 1 Abouzaid, Mohammed 1 Chiodo, Alessandro 1 Ganatra, Sheel 1 Gholampour, Amin 1 Golyshev, Vasily V. 1 Mann, Etienne 1 Manolache, Cristina 1 Mignon, Thierry 1 Segal, Ed 1 Shen, Yefeng 1 Sheridan, Nick 1 Tonita, Valentin 1 Xiao, Jifu
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### Serials

 3 Geometry & Topology 3 Kyoto Journal of Mathematics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 IMRN. International Mathematics Research Notices 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Topology 1 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 Advances in Theoretical and Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly
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### Fields

 30 Algebraic geometry (14-XX) 27 Differential geometry (53-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 $$K$$-theory (19-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 455 times in 238 Documents Cited by Year
An integral structure in quantum cohomology and mirror symmetry for toric orbifolds. Zbl 1190.14054
Iritani, Hiroshi
2009
Computing genus-zero twisted Gromov-Witten invariants. Zbl 1176.14009
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2009
Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence. Zbl 1298.14042
Chiodo, Alessandro; Iritani, Hiroshi; Ruan, Yongbin
2014
Wall-crossings in toric Gromov-Witten theory. I: Crepant examples. Zbl 1184.53086
Coates, Tom; Iritani, Hiroshi; Tseng, Hsian-Hua
2009
A mirror theorem for toric stacks. Zbl 1330.14093
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2015
Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures. Zbl 1350.14041
Galkin, Sergey; Golyshev, Vasily; Iritani, Hiroshi
2016
Convergence of quantum cohomology by quantum Lefschetz. Zbl 1160.14044
Iritani, Hiroshi
2007
Quantum $$D$$-modules and generalized mirror transformations. Zbl 1170.53071
Iritani, Hiroshi
2008
Quantum cohomology and periods. (Cohomologie quantique et période.) Zbl 1300.14055
Iritani, Hiroshi
2011
Ruan’s conjecture and integral structures in quantum cohomology. Zbl 1231.14046
Iritani, Hiroshi
2010
On the convergence of Gromov-Witten potentials and Givental’s formula. Zbl 1331.14053
Coates, Tom; Iritani, Hiroshi
2015
Quantum $$D$$-modules and equivariant Floer theory for free loop spaces. Zbl 1121.53062
Iritani, Hiroshi
2006
The crepant transformation conjecture for toric complete intersections. Zbl 1394.14036
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng
2018
A Fock sheaf for Givental quantization. Zbl 1423.14313
Coates, Tom; Iritani, Hiroshi
2018
The quantum Lefschetz hyperplane principle can fail for positive orbifold hypersurfaces. Zbl 1287.14027
Coates, Tom; Gholampour, Amin; Iritani, Hiroshi; Jiang, Yunfeng; Johnson, Paul; Manolache, Cristina
2012
$$K$$-theoretic and categorical properties of toric Deligne-Mumford stacks. Zbl 1349.14006
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng; Segal, Ed
2015
Reconstruction and convergence in quantum $$K$$-theory via difference equations. Zbl 1353.14064
Iritani, Hiroshi; Milanov, Todor; Tonita, Valentin
2015
Seidel elements and mirror transformations. Zbl 1263.14054
González, Eduardo; Iritani, Hiroshi
2012
Quantum Serre theorem as a duality between quantum $$D$$-modules. Zbl 1404.14066
Iritani, Hiroshi; Mann, Etienne; Mignon, Thierry
2016
The gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods. Zbl 1467.14097
Abouzaid, Mohammed; Ganatra, Sheel; Iritani, Hiroshi; Sheridan, Nick
2020
Hodge-theoretic mirror symmetry for toric stacks. Zbl 1464.14044
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2020
A mirror construction for the big equivariant quantum cohomology of toric manifolds. Zbl 1376.14057
Iritani, Hiroshi
2017
Gamma conjecture via mirror symmetry. Zbl 1452.53073
Galkin, Sergey; Iritani, Hiroshi
2019
On the existence of a global neighbourhood. Zbl 1357.32020
Coates, Tom; Iritani, Hiroshi
2016
Extremal transition and quantum cohomology: examples of toric degeneration. Zbl 1360.14132
Iritani, Hiroshi; Xiao, Jifu
2016
Shift operators and toric mirror theorem. Zbl 1360.14131
Iritani, Hiroshi
2017
Seidel elements and potential functions of holomorphic disc counting. Zbl 1396.53114
González, Eduardo; Iritani, Hiroshi
2017
Gromov-Witten theory of quotients of Fermat Calabi-Yau varieties. Zbl 1482.14009
Iritani, Hiroshi; Milanov, Todor; Ruan, Yongbin; Shen, Yefeng
2021
Gromov-Witten theory of quotients of Fermat Calabi-Yau varieties. Zbl 1482.14009
Iritani, Hiroshi; Milanov, Todor; Ruan, Yongbin; Shen, Yefeng
2021
The gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods. Zbl 1467.14097
Abouzaid, Mohammed; Ganatra, Sheel; Iritani, Hiroshi; Sheridan, Nick
2020
Hodge-theoretic mirror symmetry for toric stacks. Zbl 1464.14044
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2020
Gamma conjecture via mirror symmetry. Zbl 1452.53073
Galkin, Sergey; Iritani, Hiroshi
2019
The crepant transformation conjecture for toric complete intersections. Zbl 1394.14036
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng
2018
A Fock sheaf for Givental quantization. Zbl 1423.14313
Coates, Tom; Iritani, Hiroshi
2018
A mirror construction for the big equivariant quantum cohomology of toric manifolds. Zbl 1376.14057
Iritani, Hiroshi
2017
Shift operators and toric mirror theorem. Zbl 1360.14131
Iritani, Hiroshi
2017
Seidel elements and potential functions of holomorphic disc counting. Zbl 1396.53114
González, Eduardo; Iritani, Hiroshi
2017
Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures. Zbl 1350.14041
Galkin, Sergey; Golyshev, Vasily; Iritani, Hiroshi
2016
Quantum Serre theorem as a duality between quantum $$D$$-modules. Zbl 1404.14066
Iritani, Hiroshi; Mann, Etienne; Mignon, Thierry
2016
On the existence of a global neighbourhood. Zbl 1357.32020
Coates, Tom; Iritani, Hiroshi
2016
Extremal transition and quantum cohomology: examples of toric degeneration. Zbl 1360.14132
Iritani, Hiroshi; Xiao, Jifu
2016
A mirror theorem for toric stacks. Zbl 1330.14093
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2015
On the convergence of Gromov-Witten potentials and Givental’s formula. Zbl 1331.14053
Coates, Tom; Iritani, Hiroshi
2015
$$K$$-theoretic and categorical properties of toric Deligne-Mumford stacks. Zbl 1349.14006
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng; Segal, Ed
2015
Reconstruction and convergence in quantum $$K$$-theory via difference equations. Zbl 1353.14064
Iritani, Hiroshi; Milanov, Todor; Tonita, Valentin
2015
Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence. Zbl 1298.14042
Chiodo, Alessandro; Iritani, Hiroshi; Ruan, Yongbin
2014
The quantum Lefschetz hyperplane principle can fail for positive orbifold hypersurfaces. Zbl 1287.14027
Coates, Tom; Gholampour, Amin; Iritani, Hiroshi; Jiang, Yunfeng; Johnson, Paul; Manolache, Cristina
2012
Seidel elements and mirror transformations. Zbl 1263.14054
González, Eduardo; Iritani, Hiroshi
2012
Quantum cohomology and periods. (Cohomologie quantique et période.) Zbl 1300.14055
Iritani, Hiroshi
2011
Ruan’s conjecture and integral structures in quantum cohomology. Zbl 1231.14046
Iritani, Hiroshi
2010
An integral structure in quantum cohomology and mirror symmetry for toric orbifolds. Zbl 1190.14054
Iritani, Hiroshi
2009
Computing genus-zero twisted Gromov-Witten invariants. Zbl 1176.14009
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2009
Wall-crossings in toric Gromov-Witten theory. I: Crepant examples. Zbl 1184.53086
Coates, Tom; Iritani, Hiroshi; Tseng, Hsian-Hua
2009
Quantum $$D$$-modules and generalized mirror transformations. Zbl 1170.53071
Iritani, Hiroshi
2008
Convergence of quantum cohomology by quantum Lefschetz. Zbl 1160.14044
Iritani, Hiroshi
2007
Quantum $$D$$-modules and equivariant Floer theory for free loop spaces. Zbl 1121.53062
Iritani, Hiroshi
2006
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### Cited by 273 Authors

 18 Iritani, Hiroshi 18 Tseng, Hsian-Hua 11 Coates, Tom 11 Ruan, Yongbin 9 Milanov, Todor E. 6 Brini, Andrea 6 Jockers, Hans 6 Priddis, Nathan 6 Ross, Dustin 6 Sevenheck, Christian 5 Chiodo, Alessandro 5 Corti, Alessio 5 Fang, Bohan 5 Lau, Siu-Cheong 5 Li, Si 5 Shen, Yefeng 4 Belavin, Aleksandr Abramovich 4 Bryan, Jim 4 Chan, Kwokwai 4 Cheong, Daewoong 4 Jiang, Yunfeng 4 Jinzenji, Masao 4 Ke, Huazhong 4 Li, Changzheng 4 Mann, Etienne 4 Pandharipande, Rahul 4 Shoemaker, Mark 4 You, Fenglong 4 Zong, Zhengyu 3 Alëshkin, Konstantin Romanovich 3 Cavalieri, Renzo 3 Cotti, Giordano 3 Donovan, Will 3 Gholampour, Amin 3 Golyshev, Vasily V. 3 Guzzetti, Davide 3 Hertling, Claus 3 Jarvis, Tyler J. 3 Kim, Bumsig 3 Klemm, Albrecht 3 Lee, Yuan-Pin 3 Rietsch, Konstanze 3 Romo, Mauricio 3 Rossi, Paolo 3 Ruddat, Helge P. 3 Tarasov, Vitaly Olegovich 3 Varchenko, Alexander Nikolaevich 3 Woodward, Christopher T. 2 Basalaev, Alexey 2 Bruzzo, Ugo 2 Buryak, Alexandr Y. 2 Chen, Bohui 2 Cheng, Jipeng 2 Cho, Cheol-Hyun 2 Ciocan-Fontanine, Ionuţ 2 Clader, Emily 2 Douai, Antoine 2 Dubrovin, Boris Anatol’evich 2 Fan, Honglu 2 Fan, Huijun 2 Francis, Amanda E. 2 Fukaya, Kenji 2 Galkin, Sergeĭ 2 Gonzalez, Eduardo 2 Grimm, Thomas W. 2 Gross, Mark 2 Guéré, Jérémy 2 Guo, Shuai 2 He, Weiqiang 2 Kerr, Matthew 2 Lapan, Joshua M. 2 Liu, Chiu-Chu Melissa 2 Manabe, Masahide 2 Mariño, Marcos 2 Mayr, Peter 2 Mihalcea, Leonardo Constantin 2 Mochizuki, Takuro 2 Morales, John Alexander Cruz 2 Morrison, David R. 2 Oh, Yong-Geun 2 Ohta, Hiroshi 2 Oneto, Alessandro 2 Ono, Kaoru 2 Pech, Clélia 2 Pedrini, Mattia 2 Petracci, Andrea 2 Reichelt, Thomas 2 Sabbah, Claude 2 Sala, Francesco 2 Scheidegger, Emanuel 2 Shifler, Ryan M. 2 Szabo, Richard J. 2 van Garrel, Michel 2 Zagier, Don Bernard 2 Zhou, Jian 2 Zhou, Jie 1 Akhtar, Mohammad E. 1 Anderson, Dave Edward 1 Anjos, Sílvia 1 Arkhipov, Sergey M. ...and 173 more Authors
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### Cited in 65 Serials

 30 Advances in Mathematics 21 Communications in Mathematical Physics 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Annales de l’Institut Fourier 9 Letters in Mathematical Physics 9 Journal of Geometry and Physics 9 Journal of High Energy Physics 8 Geometry & Topology 6 Mathematische Annalen 5 Nuclear Physics. B 5 Duke Mathematical Journal 5 Michigan Mathematical Journal 5 European Journal of Mathematics 4 Inventiones Mathematicae 4 Journal für die Reine und Angewandte Mathematik 4 Transactions of the American Mathematical Society 4 Selecta Mathematica. New Series 4 Transformation Groups 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 3 Compositio Mathematica 3 Manuscripta Mathematica 3 Kyoto Journal of Mathematics 2 Beiträge zur Algebra und Geometrie 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Journal of Algebraic Geometry 2 Annales Henri Poincaré 2 Advances in Geometry 2 Science China. Mathematics 1 Communications in Algebra 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Moscow Mathematical Journal 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 The Journal of Prime Research in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Homotopy and Related Structures 1 Albanian Journal of Mathematics 1 Symmetry 1 Forum of Mathematics, Pi
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### Cited in 32 Fields

 213 Algebraic geometry (14-XX) 100 Differential geometry (53-XX) 42 Quantum theory (81-XX) 33 Several complex variables and analytic spaces (32-XX) 17 Ordinary differential equations (34-XX) 11 Manifolds and cell complexes (57-XX) 8 Nonassociative rings and algebras (17-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Number theory (11-XX) 6 $$K$$-theory (19-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Relativity and gravitational theory (83-XX) 5 Category theory; homological algebra (18-XX) 5 Partial differential equations (35-XX) 5 Algebraic topology (55-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 3 Operator theory (47-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX)