Geometry & Topology Volume 11, issue 2 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Holomorphic generating functions for invariants counting coherent sheaves on Calabi–Yau 3–folds

Dominic Joyce

Geometry & Topology 11 (2007) 667–725

DOI: 10.2140/gt.2007.11.667

Bibliography

1	M Bershadsky, S Cecotti, H Ooguri, C Vafa, Holomorphic anomalies in topological field theories, Nuclear Phys. B 405 (1993) 279 MR1240687
2	M Bershadsky, S Cecotti, H Ooguri, C Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Comm. Math. Phys. 165 (1994) 311 MR1301851
3	T Bridgeland, in preparation
4	T Bridgeland, Stability conditions on triangulated categories, to appear in Ann. of Math. $(2)$ arXiv:math.AG/0212237
5	T Bridgeland, Derived categories of coherent sheaves, from: "Proceedings of the International Congress of Mathematicians, Vol. 2 (Madrid, 2006)" (editors M Sanz-Solé, J Soria, J Varona, J Verdera) (2007) 563 arXiv:math.AG/0602129
6	S K Donaldson, R P Thomas, Gauge theory in higher dimensions, from: "The geometric universe (Oxford, 1996)", Oxford Univ. Press (1998) 31 MR1634503
7	S I Gelfand, Y I Manin, Methods of homological algebra, Springer Monographs in Mathematics, Springer (2003) MR1950475
8	A Goncharov, Multiple polylogarithms and mixed Tate motives arXiv:math.AG/0103059
9	A L Gorodentsev, S A Kuleshov, A N Rudakov, $t$-stabilities and $t$-structures on triangulated categories, Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004) 117 MR2084563
10	D Joyce, Constructible functions on Artin stacks, J. London Math. Soc. $(2)$ 74 (2006) 583 MR2286434
11	D Joyce, Motivic invariants of Artin stacks and ‘stack functions’, to appear in Q. J. Math. arXiv:math.AG/0509722
12	D Joyce, Configurations in abelian categories. I. Basic properties and moduli stacks, Adv. Math. 203 (2006) 194 MR2231046
13	D Joyce, Configurations in abelian categories. II. Ringel–Hall algebras, Adv. Math. 210 (2007) 635
14	D Joyce, Configurations in abelian categories. III. Stability conditions and identities, to appear in Adv. Math. arXiv:math.AG/0410267
15	D Joyce, Configurations in abelian categories. IV. Invariants and changing stability conditions arXiv:math.AG/0410268
16	M Kontsevich, Homological algebra of mirror symmetry, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 120 MR1403918
17	D McDuff, D Salamon, $J$-holomorphic curves and quantum cohomology, University Lecture Series 6, American Mathematical Society (1994) MR1286255
18	D Ramakrishnan, On the monodromy of higher logarithms, Proc. Amer. Math. Soc. 85 (1982) 596 MR660611
19	A Rudakov, Stability for an abelian category, J. Algebra 197 (1997) 231 MR1480783
20	R P Thomas, A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $K3$ fibrations, J. Differential Geom. 54 (2000) 367 MR1818182
21	B Toën, Higher and derived stacks: a global overview arXiv:math.AG/0604504
22	B Toën, Derived Hall algebras, Duke Math. J. 135 (2006) 587 MR2272977
23	E Witten, Quantum background independence in String Theory arXiv:hep-th/9306122