Volume 17, issue 5 (2013)

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The gerby Gopakumar–Mariño–Vafa formula

Dustin Ross and Zhengyu Zong

Geometry & Topology 17 (2013) 2935–2976
Bibliography
1 D Abramovich, B Fantechi, Orbifold techniques in degeneration formulas arXiv:1103.5132v1
2 D Abramovich, T Graber, A Vistoli, Gromov–Witten theory of Deligne–Mumford stacks, Amer. J. Math. 130 (2008) 1337 MR2450211
3 M Aganagic, A Klemm, M Mariño, C Vafa, The topological vertex, Comm. Math. Phys. 254 (2005) 425 MR2117633
4 M F Atiyah, R Bott, The moment map and equivariant cohomology, Topology 23 (1984) 1 MR721448
5 J Bryan, C Cadman, B Young, The orbifold topological vertex, Adv. Math. 229 (2012) 531 MR2854183
6 J Bryan, T Graber, R Pandharipande, The orbifold quantum cohomology of 2∕Z3 and Hurwitz–Hodge integrals, J. Algebraic Geom. 17 (2008) 1 MR2357679
7 C Cadman, R Cavalieri, Gerby localization, Z3–Hodge integrals and the GW theory of [3∕Z3], Amer. J. Math. 131 (2009) 1009 MR2543921
8 R Cavalieri, D Ross, Open Gromov–Witten theory and the crepant resolution conjecture, Michigan Math. J. 61 (2012) 807 MR3049291
9 Q Chen, S Marcus, H Úlfarsson, Very twisted stable maps, Comm. Anal. Geom. 18 (2010) 831 MR2765732
10 R Dijkgraaf, Mirror symmetry and elliptic curves, from: "The moduli space of curves" (editors R Dijkgraaf, C Faber, G van der Geer), Progr. Math. 129, Birkhäuser (1995) 149 MR1363055
11 Ö N Eğecioğlu, J B Remmel, A combinatorial proof of the Giambelli identity for Schur functions, Adv. in Math. 70 (1988) 59
12 C Faber, R Pandharipande, Hodge integrals and Gromov–Witten theory, Invent. Math. 139 (2000) 173 MR1728879
13 I B Frenkel, W Wang, Virasoro algebra and wreath product convolution, J. Algebra 242 (2001) 656 MR1848963
14 H Iritani, Ruan’s conjecture and integral structures in quantum cohomology, from: "New developments in algebraic geometry, integrable systems and mirror symmetry" (editors M H Saito, S Hosono, K Yoshioka), Adv. Stud. Pure Math. 59, Math. Soc. Japan (2010) 111 MR2683208
15 P D Johnson, Double Hurwitz number via the infinite wedge arXiv:1008.3266v1
16 P D Johnson, Equivariant Gromov–Witten theory of one dimensional stacks, PhD thesis, University of Michigan (2009)
17 T Lam, P Pylyavskyy, Total positivity in loop groups, I : Whirls and curls, Adv. Math. 230 (2012) 1222 MR2921179
18 J Li, C C M Liu, K Liu, J Zhou, A mathematical theory of the topological vertex, Geom. Topol. 13 (2009) 527 MR2469524
19 C C M Liu, Localization in Gromov–Witten theory and orbifold Gromov–Witten theory arXiv:1107.4712v3
20 C C M Liu, K Liu, J Zhou, A proof of a conjecture of Mariño–Vafa on Hodge integrals, J. Differential Geom. 65 (2003) 289 MR2058264
21 C C M Liu, K Liu, J Zhou, A formula of two-partition Hodge integrals, J. Amer. Math. Soc. 20 (2007) 149 MR2257399
22 I G Macdonald, Symmetric functions and Hall polynomials, Oxford University Press (1995) MR1354144
23 D Maulik, A Oblomkov, A Okounkov, R Pandharipande, Gromov–Witten/Donaldson–Thomas correspondence for toric 3–folds, Invent. Math. 186 (2011) 435 MR2845622
24 K Nakada, q–hook formula of Gansner type for a generalized Young diagram, from: "21st International Conference on Formal Power Series and Algebraic Combinatorics" (editors C Krattenthaler, V Strehl, M Kauers), Discrete Math. Theor. Comput. Science Proc., Assoc. Discrete Math. Theor. Comput. Science (2009) 685 MR2721553
25 A Okounkov, G Olshanski, Shifted Schur functions, II : The binomial formula for characters of classical groups and its applications, from: "Kirillov’s seminar on representation theory" (editor G I Olshanski), Amer. Math. Soc. Transl. Ser. 2 181, Amer. Math. Soc. (1998) 245 MR1618763
26 A Okounkov, R Pandharipande, Hodge integrals and invariants of the unknot, Geom. Topol. 8 (2004) 675 MR2057777
27 A Okounkov, R Pandharipande, The equivariant Gromov–Witten theory of P1, Ann. of Math. 163 (2006) 561 MR2199226
28 A Okounkov, N Reshetikhin, C Vafa, Quantum Calabi–Yau and classical crystals, from: "The unity of mathematics" (editors P Etingof, V Retakh, I M Singer), Progr. Math. 244, Birkhäuser (2006) 597 MR2181817
29 Z Qin, W Wang, Hilbert schemes of points on the minimal resolution and soliton equations, from: "Lie algebras, vertex operator algebras and their applications" (editors Y Z Huang, K C Misra), Contemp. Math. 442, Amer. Math. Soc. (2007) 435 MR2372578
30 D Ross, Localization and gluing of orbifold amplitudes : The Gromov–Witten orbifold vertex, to appear in Trans. Amer. Math. Soc. arXiv:1109.5995
31 D Ross, The loop Murnaghan–Nakayama rule, to appear in J. Algebraic Combin. arXiv:1208.4369
32 Z Zong, Generalized Mariño–Vafa formula and local Gromov–Witten theory of orbi-curves (2012) arXiv:1109.4992v3