Volume 14, issue 1 (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
Riemann–Roch theorems and elliptic genus for virtually smooth schemes

Barbara Fantechi and Lothar Göttsche

Geometry & Topology 14 (2010) 83–115
Bibliography
1 P Aluffi, Chern classes for singular hypersurfaces, Trans. Amer. Math. Soc. 351 (1999) 3989 MR1697199
2 K Behrend, B Fantechi, The intrinsic normal cone, Invent. Math. 128 (1997) 45 MR1437495
3 L A Borisov, A Libgober, Elliptic genera of toric varieties and applications to mirror symmetry, Invent. Math. 140 (2000) 453 MR1757003
4 K Chandrasekharan, Elliptic functions, Grund. der Math. Wissenschaften 281, Springer (1985) MR808396
5 I Ciocan-Fontanine, M Kapranov, Derived Quot schemes, Ann. Sci. École Norm. Sup. $(4)$ 34 (2001) 403 MR1839580
6 I Ciocan-Fontanine, M Kapranov, Derived Hilbert schemes, J. Amer. Math. Soc. 15 (2002) 787 MR1915819
7 I Ciocan-Fontanine, M Kapranov, Virtual fundamental classes via dg-manifolds, Geom. Topol. 13 (2009) 1779 MR2496057
8 F Denef, G Moore, Split states, entropy enigmas, holes and halos arXiv:hep-th/0702146
9 W Fulton, Intersection theory, Ergebnisse Series 3: 2, Springer (1998) MR1644323
10 L Göttsche, Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces, Math. Z. 223 (1996) 247 MR1417430
11 L Göttsche, T Mochizuki, H Nakajima, K Yoshioka, in preparation
12 L Göttsche, H Nakajima, K Yoshioka, $K$–theoretic Donaldson invariants via instanton counting, Pure Appl. Math. Quarterly 5 (2009) 1029
13 T Graber, R Pandharipande, Localization of virtual classes, Invent. Math. 135 (1999) 487 MR1666787
14 R Hartshorne, Algebraic geometry, Graduate Texts in Math. 5252, Springer (1977) MR0463157
15 G Höhn, Komplexe elliptische Geschlechter und $S^1$–äquivariante Kobordismustheorie, Diplomarbeit, Universität Bonn (1991)
16 R Joshua, Riemann–Roch for algebraic stacks III. virtual structure sheaves and virtual fundamental classes, Preprint (2005)
17 R Joshua, Bredon-style homology, cohomology and Riemann–Roch for algebraic stacks, Adv. Math. 209 (2007) 1 MR2294217
18 M Kontsevich, Enumeration of rational curves via torus actions, from: "The moduli space of curves (Texel Island, 1994)" (editors R Dijkgraaf, C Faber, G van der Geer), Progr. Math. 129, Birkhäuser (1995) 335 MR1363062
19 A Kresch, On the geometry of Deligne-Mumford stacks, from: "Algebraic geometry—Seattle 2005. Part 1" (editors D Abramovich, A Bertram, L Katzarkov, R Pandharipande, M Thaddeus), Proc. Sympos. Pure Math. 80, Amer. Math. Soc. (2009) 259 MR2483938
20 I M Krichever, Generalized elliptic genera and Baker–Akhiezer functions, Mat. Zametki 47 (1990) 34, 158 MR1048541
21 Y P Lee, Quantum $K$–theory. I. Foundations, Duke Math. J. 121 (2004) 389 MR2040281
22 J Li, G Tian, Virtual moduli cycles and Gromov–Witten invariants of algebraic varieties, J. Amer. Math. Soc. 11 (1998) 119 MR1467172
23 T Mochizuki, Note on the transition of $K$–theory invariants, Preprint (2007)
24 T Mochizuki, Donaldson type invariants for algebraic surfaces. Transition of moduli stacks, Lecture Notes in Math. 1972, Springer (2009) MR2508583
25 C Vafa, E Witten, A strong coupling test of $S$–duality, Nuclear Phys. B 431 (1994) 3 MR1305096