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The local Donaldson–Thomas theory of curves

A Okounkov and R Pandharipande

Geometry & Topology 14 (2010) 1503–1567
Bibliography
1 R Bott, A residue formula for holomorphic vector-fields, J. Differential Geometry 1 (1967) 311 MR0232405
2 J Bryan, T Graber, The crepant resolution conjecture, from: "Algebraic geometry – Seattle 2005. Part 1", Proc. Sympos. Pure Math. 80, Amer. Math. Soc. (2009) 23 MR2483931
3 J Bryan, R Pandharipande, Curves in Calabi–Yau threefolds and topological quantum field theory, Duke Math. J. 126 (2005) 369 MR2115262
4 J Bryan, R Pandharipande, The local Gromov–Witten theory of curves, J. Amer. Math. Soc. 21 (2008) 101 MR2350052
5 S K Donaldson, R P Thomas, Gauge theory in higher dimensions, from: "The geometric universe (Oxford, 1996)", Oxford Univ. Press (1998) 31 MR1634503
6 Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
7 A Gholampour, On the equivariant Gromov–Witten theory of $\mathbb{P}^2$–bundles over curves, Comm. Anal. Geom. 14 (2006) 633 MR2273289
8 A Gholampour, Y Song, Evidence for the Gromov–Witten/Donaldson–Thomas correspondence, Math. Res. Lett. 13 (2006) 623 MR2250496
9 T Graber, R Pandharipande, Localization of virtual classes, Invent. Math. 135 (1999) 487 MR1666787
10 I Grojnowski, Instantons and affine algebras I: The Hilbert scheme and vertex operators, Math. Res. Lett. 3 (1996) 275 MR1386846
11 M Haiman, Notes on Macdonald polynomials and the geometry of Hilbert schemes, from: "Symmetric functions 2001: surveys of developments and perspectives", NATO Sci. Ser. II Math. Phys. Chem. 74, Kluwer Acad. Publ. (2002) 1 MR2059359
12 E N Ionel, T H Parker, Relative Gromov–Witten invariants, Ann. of Math. $(2)$ 157 (2003) 45 MR1954264
13 Y H Kiem, J Li, Gromov–Witten invariants of varieties with holomorphic 2–forms arXiv:0707.2986
14 M Lehn, Chern classes of tautological sheaves on Hilbert schemes of points on surfaces, Invent. Math. 136 (1999) 157 MR1681097
15 M Lehn, C Sorger, Symmetric groups and the cup product on the cohomology of Hilbert schemes, Duke Math. J. 110 (2001) 345 MR1865244
16 A M Li, Y Ruan, Symplectic surgery and Gromov–Witten invariants of Calabi–Yau 3–folds, Invent. Math. 145 (2001) 151 MR1839289
17 J Li, A degeneration formula of GW-invariants, J. Differential Geom. 60 (2002) 199 MR1938113
18 J Li, private communication (2004)
19 J Li, B Wu, Degeneration of Donaldson–Thomas invariants, preprint (2009)
20 W p Li, Z Qin, W Wang, Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces, Math. Ann. 324 (2002) 105 MR1931760
21 C C Liu, K Liu, J Zhou, A proof of a conjecture of Mariño–Vafa on Hodge integrals arXiv:math.AG/0308015
22 I G Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (1995) MR1354144
23 M Mariño, C Vafa, Framed knots at large $N$ arXiv:hep-th/0108064
24 D Maulik, N Nekrasov, A Okounkov, R Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory I, Compos. Math. 142 (2006) 1263 MR2264664
25 D Maulik, N Nekrasov, A Okounkov, R Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory II, Compos. Math. 142 (2006) 1286 MR2264665
26 D Maulik, R Pandharipande, A topological view of Gromov–Witten theory, Topology 45 (2006) 887 MR2248516
27 D Maulik, R Pandharipande, R Thomas, Curves on $K3$ surfaces and modular forms arXiv:1001.2719
28 H Nakajima, Lectures on Hilbert schemes of points on surfaces, University Lecture Series 18, American Mathematical Society (1999) MR1711344
29 A Okounkov, R Pandharipande, Hodge integrals and invariants of the unknot, Geom. Topol. 8 (2004) 675 MR2057777
30 A Okounkov, R Pandharipande, Virasoro constraints for target curves, Invent. Math. 163 (2006) 47 MR2208418
31 A Okounkov, R Pandharipande, Quantum cohomology of the Hilbert scheme of points in the plane, Invent. Math. 179 (2010) 523 MR2587340
32 A Okounkov, N Reshetikhin, Correlation function of Schur process with application to local geometry of a random 3–dimensional Young diagram, J. Amer. Math. Soc. 16 (2003) 581 MR1969205
33 A Okounkov, N Reshetikhin, C Vafa, Quantum Calabi–Yau and classical crystals arXiv:hep-th/0310061
34 R P Thomas, A holomorphic Casson invariant for Calabi–Yau 3–folds, and bundles on $K3$ fibrations, J. Differential Geom. 54 (2000) 367 MR1818182
35 E Vasserot, Sur l'anneau de cohomologie du schéma de Hilbert de $\mathbb{C}^2$, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 7 MR1805619