Geometry & Topology Volume 18, issue 3 (2014)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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A mirror theorem for the mirror quintic

Yuan-Pin Lee and Mark Shoemaker

Geometry & Topology 18 (2014) 1437–1483

DOI: 10.2140/gt.2014.18.1437

Bibliography

1	D Abramovich, T Graber, A Vistoli, Gromov–Witten theory of Deligne–Mumford stacks, Amer. J. Math. 130 (2008) 1337 MRMR2450211
2	V V Batyrev, Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties, J. Algebraic Geom. 3 (1994) 493 MR1269718
3	A Bertram, Another way to enumerate rational curves with torus actions, Invent. Math. 142 (2000) 487 MR1804158
4	R L Bryant, P A Griffiths, Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle, from: "Arithmetic and geometry, Vol. II" (editors M Artin, J Tate), Progr. Math. 36, Birkhäuser (1983) 77 MR717607
5	P Candelas, X C de la Ossa, P S Green, L Parkes, A pair of Calabi–Yau manifolds as an exactly soluble superconformal theory, Nuclear Phys. B 359 (1991) 21 MR1115626
6	P Candelas, X de la Ossa, F Rodriguez-Villegas, Calabi–Yau manifolds over finite fields, I, arXiv:hep-th/0012233
7	W Chen, Y Ruan, Orbifold Gromov–Witten theory, from: "Orbifolds in mathematics and physics" (editors A Adem, J Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002) 25 MR1950941
8	W Chen, Y Ruan, A new cohomology theory of orbifold, Comm. Math. Phys. 248 (2004) 1 MR2104605
9	T Coates, A Corti, H Iritani, H H Tseng, Computing genus-zero twisted Gromov–Witten invariants, Duke Math. J. 147 (2009) 377 MR2510741
10	T Coates, Y P Lee, A Corti, H H Tseng, The quantum orbifold cohomology of weighted projective spaces, Acta Math. 202 (2009) 139 MR2506749
11	D A Cox, S Katz, Mirror symmetry and algebraic geometry, 68, Amer. Math. Soc. (1999) MR1677117
12	D A Cox, S Katz, Y P Lee, Virtual fundamental classes of zero loci, from: "Advances in algebraic geometry motivated by physics" (editor E Previato), Contemp. Math., Amer. Math. Soc. (2001) 157 MR1837116
13	P Deligne, Équations différentielles à points singuliers réguliers, 163, Springer (1970) MR0417174
14	C Doran, B Greene, S Judes, Families of quintic Calabi–Yau 3–folds with discrete symmetries, Comm. Math. Phys. 280 (2008) 675 MR2399610
15	A B Givental, Equivariant Gromov–Witten invariants, Internat. Math. Res. Notices (1996) 613 MR1408320
16	A B Givental, A mirror theorem for toric complete intersections, from: "Topological field theory, primitive forms and related topics" (editors M Kashiwara, A Matsuo, K Saito, I Satake), Progr. Math. 160, Birkhäuser (1998) 141 MR1653024
17	T Graber, R Pandharipande, Localization of virtual classes, Invent. Math. 135 (1999) 487 MR1666787
18	B R Greene, M R Plesser, Duality in Calabi–Yau moduli space, Nuclear Phys. B 338 (1990) 15 MR1059831
19	P A Griffiths, On the periods of certain rational integrals, I, II, Ann. of Math. 90 (1969) 496 MR0260733
20	P A Griffiths, editor, Topics in transcendental algebraic geometry, 106, Princeton Univ. Press (1984) MR756842
21	H Iritani, Quantum cohomology and periods, Ann. Inst. Fourier (Grenoble) 61 (2011) 2909 MR3112512
22	B H Lian, K Liu, S T Yau, Mirror principle, I, Asian J. Math. 1 (1997) 729 MR1621573
23	C C M Liu, Localization in Gromov–Witten theory and orbifold Gromov–Witten theory, from: "Handbook of Moduli, Vol. II", Adv. Lect. Math. 25, Int. Press (2013) 353
24	H H Tseng, Orbifold quantum Riemann–Roch, Lefschetz and Serre, Geom. Topol. 14 (2010) 1 MR2578300
25	E Witten, Mirror manifolds and topological field theory, from: "Essays on mirror manifolds" (editor S T Yau), Int. Press (1992) 120 MR1191422