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The
Eynard–Orantin recursion and equivariant mirror symmetry for
the projective line
Bohan Fang, Chiu-Chu Melissa Liu and Zhengyu Zong |
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Geometry & Topology 21 (2017) 2049–2092
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Abstract |
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We study the equivariantly perturbed mirror Landau–Ginzburg model of . We show that the Eynard–Orantin recursion on this model encodes all-genus, all-descendants equivariant Gromov–Witten invariants of . The nonequivariant limit of this result is the Norbury–Scott conjecture, while by taking large radius limit we recover the Bouchard–Mariño conjecture on simple Hurwitz numbers. |
Keywords
Gromov–Witten invariants, mirror symmetry, Eynard–Orantin
recursion, Norbury–Scott conjecture
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Mathematical Subject Classification 2010
Primary: 14N35
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References |
Publication
Received: 6 December 2014
Revised: 24 May 2016
Accepted: 16 July 2016
Published: 19 May 2017
Proposed: Lothar Göttsche
Seconded: Richard Thomas, Dan Abramovich
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Authors |
| Bohan Fang | |
| Beijing International Center for
Mathematical Research Peking University 5 Yiheyuan Road Jingchunyuan 78 Beijing, 100871 China |
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| Chiu-Chu Melissa Liu | |
| Department of Mathematics Columbia University Room 623, Mail Code 4435 2990 Broadway New York, NY 10027 United States |
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| Zhengyu Zong | |
| Yau Mathematical Sciences
Center Tsinghua University Jing Chun Yuan West Building, Tsinghua University Haidian District Beijing, 100084 China |
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