Volume 14, issue 3 (2010)

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

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
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