#### Volume 13, issue 3 (2009)

Gromov–Witten theory of $\mathcal{A}_{n}$–resolutions
 1 M Aganagic, A Klemm, M Mariño, C Vafa, The topological vertex, Comm. Math. Phys. 254 (2005) 425 MR2117633 2 K Behrend, B Fantechi 3 J Bryan, T Graber, The crepant resolution conjecture arXiv:math.AG/0610129 4 J Bryan, S Katz, N C Leung, Multiple covers and the integrality conjecture for rational curves in Calabi–Yau threefolds, J. Algebraic Geom. 10 (2001) 549 MR1832332 5 J Bryan, N C Leung, The enumerative geometry of $K3$ surfaces and modular forms, J. Amer. Math. Soc. 13 (2000) 371 MR1750955 6 J Bryan, R Pandharipande, The local Gromov–Witten theory of curves, J. Amer. Math. Soc. 21 (2008) 101 MR2350052 7 W Chen, Y Ruan, Orbifold Gromov-Witten theory, from: "Orbifolds in mathematics and physics (Madison, WI, 2001)" (editors A Adem, J Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002) 25 MR1950941 8 C Faber, R Pandharipande, Hodge integrals and Gromov–Witten theory, Invent. Math. 139 (2000) 173 MR1728879 9 A B Givental, Gromov–Witten invariants and quantization of quadratic Hamiltonians, Mosc. Math. J. 1 (2001) 551, 645 MR1901075 10 I P Goulden, D M Jackson, R Vakil, Towards the geometry of double Hurwitz numbers, Adv. Math. 198 (2005) 43 MR2183250 11 T Graber, R Pandharipande, Localization of virtual classes, Invent. Math. 135 (1999) 487 MR1666787 12 I Grojnowski, Instantons and affine algebras. I. The Hilbert scheme and vertex operators, Math. Res. Lett. 3 (1996) 275 MR1386846 13 J Li, C C M Liu, K Liu, J Zhou, A mathematical theory of the topological vertex arXiv:math.AG/0408426 14 C C M Liu, K Liu, J Zhou, A formula of two-partition Hodge integrals, J. Amer. Math. Soc. 20 (2007) 149 MR2257399 15 M Manetti, Lie description of higher obstructions to deforming submanifolds arXiv:math.AG/0507287 16 D Maulik, A Oblomkov, Donaldson–Thomas theory of $\mathcal{A}_n\times \mathbf{P}^1$, in preparation 17 D Maulik, A Oblomkov, Quantum cohomology of Hilbert scheme of points on $\mathcal{A}_n$–resolutions, in preparation 18 D Maulik, A Oblomkov, A Okounkov, R Pandharipande, Gromov–Witten/Donaldson–Thomas correspondence for toric threefolds, in preparation 19 D Maulik, R Pandharipande, Gromov–Witten theory and Noether–Lefschetz theory arXiv:arXiv:0705.1653 20 D Maulik, R Pandharipande, A topological view of Gromov–Witten theory, Topology 45 (2006) 887 MR2248516 21 H Nakajima, Lectures on Hilbert schemes of points on surfaces, Univ. Lecture Series 18, Amer. Math. Soc. (1999) MR1711344 22 A Okounkov, R Pandharipande, The local Donaldson–Thomas theory for curves arXiv:math.AG/0512573 23 A Okounkov, R Pandharipande, Quantum cohomology of the Hilbert scheme of points in the plane arXiv:math.AG/0411210 24 A Okounkov, R Pandharipande, The equivariant Gromov–Witten theory of $\mathbf{P}^1$, Ann. of Math. $(2)$ 163 (2006) 561 MR2199226 25 A Okounkov, R Pandharipande, Gromov–Witten theory, Hurwitz theory, and completed cycles, Ann. of Math. $(2)$ 163 (2006) 517 MR2199225 26 Z Ran, Semiregularity, obstructions and deformations of Hodge classes, Ann. Scuola Norm. Sup. Pisa Cl. Sci. $(4)$ 28 (1999) 809 MR1760539