Volume 23, issue 1 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Towards a quantum Lefschetz hyperplane theorem in all genera

Honglu Fan and Yuan-Pin Lee

Geometry & Topology 23 (2019) 493–512
Bibliography
1 M Bershadsky, S Cecotti, H Ooguri, C Vafa, Holomorphic anomalies in topological field theories, Nuclear Phys. B 405 (1993) 279 MR1240687
2 M Bershadsky, S Cecotti, H Ooguri, C Vafa, Kodaira–Spencer theory of gravity and exact results for quantum string amplitudes, Comm. Math. Phys. 165 (1994) 311 MR1301851
3 H L Chang, S Guo, W P Li, J Zhou, Genus one GW invariants of quintic threefolds via MSP localization, preprint (2017) arXiv:1711.10118
4 H L Chang, J Li, W P Li, C C M Liu, An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds, preprint (2016) arXiv:1603.06184
5 T Coates, A Givental, Quantum Riemann–Roch, Lefschetz and Serre, Ann. of Math. 165 (2007) 15 MR2276766
6 H Fan, Y P Lee, On Gromov–Witten theory of projective bundles, preprint (2016) arXiv:1607.00740
7 H Fan, Y P Lee, Towards a quantum Lefschetz hyperplane theorem in all genera, preprint (2017) arXiv:1712.03573
8 A B Givental, Equivariant Gromov–Witten invariants, Internat. Math. Res. Notices 1996 (1996) 613 MR1408320
9 A B Givental, Gromov–Witten invariants and quantization of quadratic Hamiltonians, Mosc. Math. J. 1 (2001) 551 MR1901075
10 S Guo, F Janda, Y Ruan, A mirror theorem for genus two Gromov–Witten invariants of quintic threefolds, preprint (2017) arXiv:1709.07392
11 S Guo, D Ross, Genus-one mirror symmetry in the Landau–Ginzburg model, preprint (2016) arXiv:1611.08876
12 S Guo, D Ross, The genus-one global mirror theorem for the quintic threefold, preprint (2017) arXiv:1703.06955
13 E N Ionel, T H Parker, The Gopakumar–Vafa formula for symplectic manifolds, Ann. of Math. 187 (2018) 1 MR3739228
14 B Kim, Quantum hyperplane section theorem for homogeneous spaces, Acta Math. 183 (1999) 71 MR1719555
15 B Kim, A Kresch, T Pantev, Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee, J. Pure Appl. Algebra 179 (2003) 127 MR1958379
16 B Kim, H Lho, Mirror theorem for elliptic quasimap invariants, Geom. Topol. 22 (2018) 1459 MR3780438
17 M Kontsevich, Enumeration of rational curves via torus actions, from: "The moduli space of curves" (editors R Dijkgraaf, C Faber, G van der Geer), Progr. Math. 129, Birkhäuser (1995) 335 MR1363062
18 Y P Lee, Quantum Lefschetz hyperplane theorem, Invent. Math. 145 (2001) 121 MR1839288
19 Y P Lee, R Pandharipande, A reconstruction theorem in quantum cohomology and quantum K–theory, Amer. J. Math. 126 (2004) 1367 MR2102400
20 C C M Liu, Localization in Gromov–Witten theory and orbifold Gromov–Witten theory, from: "Handbook of moduli, II" (editors G Farkas, I Morrison), Adv. Lect. Math. 25, Int. (2013) 353 MR3184181
21 A Mustata, A Mustata, Gromov–Witten invariants for varieties with C action, preprint (2015) arXiv:1505.01471
22 L Wu, A remark on Gromov–Witten invariants of quintic threefold, Adv. Math. 326 (2018) 241 MR3758430
23 A Zinger, The reduced genus 1 Gromov–Witten invariants of Calabi–Yau hypersurfaces, J. Amer. Math. Soc. 22 (2009) 691 MR2505298