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## Guest, Martin A.

Compute Distance To:
 Author ID: guest.martin-a Published as: Guest, Martin A.; Guest, M. A.; Guest, Martin; Guest, M.
 Documents Indexed: 57 Publications since 1982, including 10 Books
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#### Co-Authors

 24 single-authored 8 Ohnita, Yoshihiro 5 Kozlowski, Andrzej 5 Lin, Chang-Shou 5 Yamaguchi, Kohhei 4 Miyaoka, Reiko 3 Its, Alexander Rudolfovich 2 Ho, Nan-Kuo 2 Rossman, Wayne 1 Amarzaya, Amartuvshin 1 Astey, Luis 1 Bergvelt, Maarten J. 1 Burstall, Francis Everett 1 Dorfmeister, Josef F. 1 Furuta, Mikio 1 Hà Huy Khóai 1 Hertling, Claus 1 Kotani, Motoko 1 Kwieciński, Michał 1 Maeda, Yoshiaki 1 Nguyen Khac Viet 1 Oka, Mutsuo 1 Ong, Boon-Wee 1 Otofuji, Takashi 1 Pressley, A. N. 1 Sakai, Hironori
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#### Serials

 4 Communications in Mathematical Physics 3 Journal of Mathematics of Kyoto University 2 Mathematische Zeitschrift 2 Vietnam Journal of Mathematics 2 Contemporary Mathematics 2 Seminar on Mathematical Sciences 1 Acta Mathematica 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Hokkaido Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematika 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Selecta Mathematica. New Series 1 Matemática Contemporânea 1 Mathematical Physics, Analysis and Geometry 1 The Asian Journal of Mathematics 1 Advanced Studies in Pure Mathematics 1 Lecture Notes in Mathematics 1 London Mathematical Society Student Texts 1 Oxford Graduate Texts in Mathematics 1 Communications in Number Theory and Physics 1 Japanese Journal of Mathematics. 3rd Series 1 OCAMI Studies
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#### Fields

 24 Differential geometry (53-XX) 24 Global analysis, analysis on manifolds (58-XX) 16 Algebraic geometry (14-XX) 12 Algebraic topology (55-XX) 10 Manifolds and cell complexes (57-XX) 10 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Group theory and generalizations (20-XX) 2 Mechanics of particles and systems (70-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 310 times in 203 Documents Cited by Year
Harmonic maps, loop groups, and integrable systems. Zbl 0898.58010
Guest, Martin A.
1997
Harmonic two-spheres in compact symmetric spaces, revisited. Zbl 0897.58012
Burstall, F. E.; Guest, M. A.
1997
The topology of the space of rational curves on a toric variety. - Appendix 1: $$\pi_ 0 Q^ X_ D$$ and $$\pi_ 1Q^ X_ D$$. -Appendix 2: Representation of holomorphic maps by polynomials. Zbl 0826.14035
Guest, Martin A.
1995
Group actions and deformations for harmonic maps. Zbl 0792.58012
Guest, Martin A.; Ohnita, Yoshihiro
1993
Quantum cohomology via $$D$$-modules. Zbl 1081.53077
Guest, Martin A.
2005
From quantum cohomology to integrable systems. Zbl 1161.14002
Guest, Martin A.
2008
Spaces of polynomials with roots of bounded multiplicity. Zbl 1016.55004
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1999
Actions of loop groups on harmonic maps. Zbl 0745.58015
Bergvelt, M. J.; Guest, M. A.
1991
The topology of spaces of coprime polynomials. Zbl 0861.55015
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1994
Topology of the space of absolute minima of the energy functional. Zbl 0564.58014
Guest, M. A.
1984
Isomonodromy aspects of the $$\mathrm{tt}^*$$ equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2015
On the fundamental group of the space of harmonic 2-spheres in the $$n$$- sphere. Zbl 0813.58007
Furuta, Mikio; Guest, Martin A.; Kotani, Motoko; Ohnita, Yoshihiro
1994
Geometry of maps between generalized flag manifolds. Zbl 0592.58010
Guest, M. A.
1987
An update on harmonic maps of finite uniton number, via the zero curvature equation. Zbl 1034.58015
Guest, Martin A.
2002
Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa. Zbl 1341.37039
Guest, Martin A.; Lin, Chang-Shou
2014
Orbifold quantum D-modules associated to weighted projective spaces. Zbl 1396.53115
Guest, Martin A.; Sakai, Hironori
2014
Isomonodromy aspects of the $$\mathrm{tt}^*$$ equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2015
Stable splitting of the space of polynomials with roots of bounded multiplicity. Zbl 0917.55005
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1998
Instantons, rational maps, and harmonic maps. Zbl 0875.30005
Guest, Martin A.
1992
Holomorphic curves in loop groups. Zbl 0668.22007
Guest, M. A.; Pressley, A. N.
1988
On the space of holomorphic maps from the Riemann sphere to the quadric cone. Zbl 0802.58012
Guest, M. A.
1994
Loop group actions on harmonic maps and their applications. Zbl 0882.58012
Guest, M. A.; Ohnita, Y.
1994
The homotopy type of the space of rational functions. Zbl 0862.55011
Guest, M. A.; Kozlowski, A.; Murayama, M.; Yamaguchi, K.
1995
Gromov-Witten invariants of flag manifolds, via $$D$$-modules. Zbl 1093.14076
Amarzaya, A.; Guest, M. A.
2005
Some $$tt^\ast$$ structures and their integral Stokes data. Zbl 1270.81112
Guest, Martin A.; Lin, Chang-Shou
2012
Homological stability of oriented configuration spaces. Zbl 0891.55013
Guest, Martin A.; Kozlowsky, Andrzej; Yamaguchi, Kohhei
1996
The energy function and homogeneous harmonic maps. Zbl 0687.58005
Guest, M. A.
1991
The $$tt^*$$ structure of the quantum cohomology of $$\mathbb C P^1$$ from the viewpoint of differential geometry. Zbl 1210.53011
Dorfmeister, Josef F.; Guest, Martin A.; Rossman, Wayne
2010
Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations. Zbl 1419.81035
Guest, Martin A.; Ho, Nan-Kuo
2019
Quantum cohomology and the periodic Toda lattice. Zbl 0983.53060
Guest, Martin A.; Otofuji, Takashi
2001
Lie groups as framed boundaries. Zbl 0705.22022
Astey, L.; Guest, M. A.; Pastor, G.
1988
Harmonic two-spheres in complex projective space and some open problems. Zbl 0759.58014
Guest, M. A.
1992
Integrable systems, loop groups, and harmonic maps. Zbl 0842.58005
Guest, Martin A.
1994
Actions of loop groups, deformations of harmonic maps, and their applications. Zbl 0863.58020
Guest, Martin; Ōnita, Yoshihiro
1994
Morse theory in the 1990s. Zbl 0996.54503
Guest, Martin A.
2002
Introduction to homological geometry. I. Zbl 1106.53058
Guest, Martin A.
2006
Introduction to homological geometry. II. Zbl 1114.53073
Guest, Martin A.
2006
Differential equations aspects of quantum cohomology. Zbl 1210.81024
Guest, Martin A.
2010
A Lie-theoretic description of the solution space of the $$\mathrm{tt}^\ast$$-Toda equations. Zbl 1413.37051
Guest, Martin A.; Ho, Nan-Kuo
2017
Isomonodromy aspects of the $$tt^*$$ equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. Zbl 1439.22027
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2020
Isomonodromy aspects of the $$tt^*$$ equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. Zbl 1439.22027
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2020
Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations. Zbl 1419.81035
Guest, Martin A.; Ho, Nan-Kuo
2019
A Lie-theoretic description of the solution space of the $$\mathrm{tt}^\ast$$-Toda equations. Zbl 1413.37051
Guest, Martin A.; Ho, Nan-Kuo
2017
Isomonodromy aspects of the $$\mathrm{tt}^*$$ equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2015
Isomonodromy aspects of the $$\mathrm{tt}^*$$ equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2015
Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa. Zbl 1341.37039
Guest, Martin A.; Lin, Chang-Shou
2014
Orbifold quantum D-modules associated to weighted projective spaces. Zbl 1396.53115
Guest, Martin A.; Sakai, Hironori
2014
Some $$tt^\ast$$ structures and their integral Stokes data. Zbl 1270.81112
Guest, Martin A.; Lin, Chang-Shou
2012
The $$tt^*$$ structure of the quantum cohomology of $$\mathbb C P^1$$ from the viewpoint of differential geometry. Zbl 1210.53011
Dorfmeister, Josef F.; Guest, Martin A.; Rossman, Wayne
2010
Differential equations aspects of quantum cohomology. Zbl 1210.81024
Guest, Martin A.
2010
From quantum cohomology to integrable systems. Zbl 1161.14002
Guest, Martin A.
2008
Introduction to homological geometry. I. Zbl 1106.53058
Guest, Martin A.
2006
Introduction to homological geometry. II. Zbl 1114.53073
Guest, Martin A.
2006
Quantum cohomology via $$D$$-modules. Zbl 1081.53077
Guest, Martin A.
2005
Gromov-Witten invariants of flag manifolds, via $$D$$-modules. Zbl 1093.14076
Amarzaya, A.; Guest, M. A.
2005
An update on harmonic maps of finite uniton number, via the zero curvature equation. Zbl 1034.58015
Guest, Martin A.
2002
Morse theory in the 1990s. Zbl 0996.54503
Guest, Martin A.
2002
Quantum cohomology and the periodic Toda lattice. Zbl 0983.53060
Guest, Martin A.; Otofuji, Takashi
2001
Spaces of polynomials with roots of bounded multiplicity. Zbl 1016.55004
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1999
Stable splitting of the space of polynomials with roots of bounded multiplicity. Zbl 0917.55005
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1998
Harmonic maps, loop groups, and integrable systems. Zbl 0898.58010
Guest, Martin A.
1997
Harmonic two-spheres in compact symmetric spaces, revisited. Zbl 0897.58012
Burstall, F. E.; Guest, M. A.
1997
Homological stability of oriented configuration spaces. Zbl 0891.55013
Guest, Martin A.; Kozlowsky, Andrzej; Yamaguchi, Kohhei
1996
The topology of the space of rational curves on a toric variety. - Appendix 1: $$\pi_ 0 Q^ X_ D$$ and $$\pi_ 1Q^ X_ D$$. -Appendix 2: Representation of holomorphic maps by polynomials. Zbl 0826.14035
Guest, Martin A.
1995
The homotopy type of the space of rational functions. Zbl 0862.55011
Guest, M. A.; Kozlowski, A.; Murayama, M.; Yamaguchi, K.
1995
The topology of spaces of coprime polynomials. Zbl 0861.55015
Guest, M. A.; Kozlowski, A.; Yamaguchi, K.
1994
On the fundamental group of the space of harmonic 2-spheres in the $$n$$- sphere. Zbl 0813.58007
Furuta, Mikio; Guest, Martin A.; Kotani, Motoko; Ohnita, Yoshihiro
1994
On the space of holomorphic maps from the Riemann sphere to the quadric cone. Zbl 0802.58012
Guest, M. A.
1994
Loop group actions on harmonic maps and their applications. Zbl 0882.58012
Guest, M. A.; Ohnita, Y.
1994
Integrable systems, loop groups, and harmonic maps. Zbl 0842.58005
Guest, Martin A.
1994
Actions of loop groups, deformations of harmonic maps, and their applications. Zbl 0863.58020
Guest, Martin; Ōnita, Yoshihiro
1994
Group actions and deformations for harmonic maps. Zbl 0792.58012
Guest, Martin A.; Ohnita, Yoshihiro
1993
Instantons, rational maps, and harmonic maps. Zbl 0875.30005
Guest, Martin A.
1992
Harmonic two-spheres in complex projective space and some open problems. Zbl 0759.58014
Guest, M. A.
1992
Actions of loop groups on harmonic maps. Zbl 0745.58015
Bergvelt, M. J.; Guest, M. A.
1991
The energy function and homogeneous harmonic maps. Zbl 0687.58005
Guest, M. A.
1991
Holomorphic curves in loop groups. Zbl 0668.22007
Guest, M. A.; Pressley, A. N.
1988
Lie groups as framed boundaries. Zbl 0705.22022
Astey, L.; Guest, M. A.; Pastor, G.
1988
Geometry of maps between generalized flag manifolds. Zbl 0592.58010
Guest, M. A.
1987
Topology of the space of absolute minima of the energy functional. Zbl 0564.58014
Guest, M. A.
1984
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#### Cited by 217 Authors

 12 Guest, Martin A. 9 Dorfmeister, Josef F. 9 Lin, Chang-Shou 9 Wood, John C. 9 Yamaguchi, Kohhei 8 Iritani, Hiroshi 8 Pacheco, Rui 7 Wei, Juncheng 6 Grundland, Alfred Michel 6 Kozlowski, Andrzej 4 Correia, Nuno 4 Ferreira, Maria João 4 Ohnita, Yoshihiro 4 Pistoia, Angela 4 Simões, Bruno Ascenso 4 Svensson, Martin 4 Wu, Hongyou 3 Brander, David 3 Coates, Tom 3 Fernandez, Luis 3 Helminck, Aloysius G. 3 Helminck, Gerardus Franciscus 3 Holm, Darryl D. 3 Its, Alexander Rudolfovich 3 Jinzenji, Masao 3 Kobayashi, Shimpei 3 Mare, Augustin-Liviu 3 Milgram, Richard James 3 Zhang, Lei 2 Aleman, Alexandru 2 Ao, Weiwei 2 Arnaudon, Alexis 2 Bolton, John 2 Boyer, Charles P. 2 D’Aprile, Teresa 2 dos Santos, António Ferreira 2 dos Santos, Pedro F. 2 Gómez-Gonzáles, Claudio 2 Grant, James D. E. 2 Harada, Megumi 2 Ho, Nan-Kuo 2 Holm, Tara S. 2 Hurtubise, Jacques C. 2 Inoguchi, Jun-ichi 2 Ivanov, Rossen I. 2 Kotani, Motoko 2 Lee, Youngae 2 Ma, Hui 2 Malchiodi, Andrea 2 Mann, Benjamin Michael 2 Mann, Etienne 2 Miller, Jeremy A. 2 Nie, Zhaohu 2 Pedit, Franz J. 2 Ruiz, David 2 Sakai, Hironori 2 Shipman, Barbara A. 2 Šnobl, Libor 2 Terng, Chuu-Lian 2 Tseng, Hsian-Hua 2 Wang, Erxiao 2 Woodward, Lyndon M. 2 Yang, Wen 1 Adamopoulou, Panagiota 1 Albeverio, Sergio A. 1 Anand, Christopher Kumar 1 Arvanitoyeorgos, Andreas 1 Bădiţoiu, Gabriel 1 Battaglia, Luca 1 Beheshti, Shabnam 1 Benedetti, Bruno 1 Bergvelt, Maarten J. 1 Bertrand, Sébastien 1 Bloch, Anthony M. 1 Bonelli, Giulio 1 Bourqui, David 1 Burstall, Francis Everett 1 Bykov, Dmitriĭ Vladimirovich 1 Câmara, Maria Cristina 1 Caorsi, Matteo 1 Carrillo-Catalán, Ramiro 1 Castrillón López, Marco 1 Cecotti, Sergio 1 Chi, Quo-Shin 1 Chiang, Yuanjen 1 Chiodo, Alessandro 1 Cieśliński, Jan L. 1 Clelland, Jeanne Nielsen 1 Cohen, Frederick Ronald 1 Cohen, Ralph L. 1 Collier, Brian 1 Cordes, Stefan F. 1 Correa, Eder M. 1 Corti, Alessio 1 Cotterill, Ethan 1 Cox, David A. 1 Crampé, Nicolas 1 Dai, Yu-Jie 1 Daletskii, Alexei 1 David, Liana ...and 117 more Authors
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#### Cited in 88 Serials

 14 Mathematische Zeitschrift 12 Journal of Geometry and Physics 11 Communications in Mathematical Physics 11 Transactions of the American Mathematical Society 8 Tohoku Mathematical Journal. Second Series 8 International Journal of Mathematics 8 Differential Geometry and its Applications 7 Advances in Mathematics 5 Journal of Differential Equations 5 Topology and its Applications 4 Acta Mathematica 4 Geometriae Dedicata 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Geometry & Topology 3 Letters in Mathematical Physics 3 Theoretical and Mathematical Physics 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Geometry 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Science in China. Series A 2 Mathematical Physics, Analysis and Geometry 2 Annales Henri Poincaré 2 Research in the Mathematical Sciences 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Communications on Pure and Applied Mathematics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Tokyo Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 Journal of Nonlinear Science 1 Nuclear Physics, B, Proceedings Supplements 1 Journal of Algebraic Geometry 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 International Electronic Journal of Geometry 1 Japanese Journal of Mathematics. 3rd Series 1 Advances in Mathematical Physics 1 Kyoto Journal of Mathematics 1 European Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 33 Fields

 98 Differential geometry (53-XX) 64 Global analysis, analysis on manifolds (58-XX) 53 Algebraic geometry (14-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Partial differential equations (35-XX) 26 Algebraic topology (55-XX) 19 Topological groups, Lie groups (22-XX) 16 Quantum theory (81-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Manifolds and cell complexes (57-XX) 9 Functions of a complex variable (30-XX) 6 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 5 Nonassociative rings and algebras (17-XX) 5 Mechanics of particles and systems (70-XX) 4 Group theory and generalizations (20-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX)