Geometry & Topology Volume 16, issue 4 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Virtual push-forwards

Cristina Manolache

Geometry & Topology 16 (2012) 2003–2036

DOI: 10.2140/gt.2012.16.2003

Bibliography

1	K Behrend, Gromov–Witten invariants in algebraic geometry, Invent. Math. 127 (1997) 601 MR1431140
2	K Behrend, B Fantechi, The intrinsic normal cone, Invent. Math. 128 (1997) 45 MR1437495
3	T Coates, Givental's Lagrangian cone and $S^1$–equivariant Gromov–Witten theory, Math. Res. Lett. 15 (2008) 15 MR2367170
4	K Costello, Higher genus Gromov–Witten invariants as genus zero invariants of symmetric products, Ann. of Math. 164 (2006) 561 MR2247968
5	A J de Jong, The Stacks Project
6	B Fantechi, L Göttsche, Riemann–Roch theorems and elliptic genus for virtually smooth schemes, Geom. Topol. 14 (2010) 83 MR2578301
7	W Fulton, Intersection theory, Ergeb. Math. Grenzgeb. 2, Springer (1984) MR732620
8	A Gathmann, Gromov–Witten invariants of hypersurfaces, habilitation thesis, University of Kaiserslautern (2003)
9	B Kim, Some functoriality properties of Gromov–Witten invariants, personal communication
10	B Kim, A Kresch, T Pantev, Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee, J. Pure Appl. Algebra 179 (2003) 127 MR1958379
11	B Kim, R Pandharipande, The connectedness of the moduli space of maps to homogeneous spaces, from: "Symplectic geometry and mirror symmetry (Seoul, 2000)", World Sci. Publ., River Edge, NJ (2001) 187 MR1882330
12	A Kresch, Intersection theory on Deligne–Mumford stacks, manuscript
13	A Kresch, Cycle groups for Artin stacks, Invent. Math. 138 (1999) 495 MR1719823
14	H H Lai, Gromov–Witten invariants of blow-ups along submanifolds with convex normal bundles, Geom. Topol. 13 (2009) 1 MR2469512
15	G Laumon, L Moret-Bailly, Champs algébriques, Ergeb. Math. Grenzgeb. 39, Springer (2000) MR1771927
16	J Li, G Tian, Virtual moduli cycles and Gromov–Witten invariants of general symplectic manifolds, from: "Topics in symplectic 4–manifolds (Irvine, CA, 1996)", First Int. Press Lect. Ser., I, Int. Press, Cambridge, MA (1998) 47 MR1635695
17	M Lieblich, Remarks on the stack of coherent algebras, Int. Math. Res. Not. 2006 (2006) 12 MR2233719
18	C Manolache, Virtual pull-backs, J. Algebraic Geom. 21 (2012) 201 MR2877433
19	A Marian, D Oprea, R Pandharipande, The moduli space of stable quotients, Geom. Topol. 15 (2011) 1651 MR2851074
20	M Olsson, Sheaves on Artin stacks, J. Reine Angew. Math. 603 (2007) 55 MR2312554
21	M Popa, M Roth, Stable maps and Quot schemes, Invent. Math. 152 (2003) 625 MR1988296
22	Y Toda, Moduli spaces of stable quotients and wall-crossing phenomena, Compos. Math. 147 (2011) 1479 MR2834730
23	A Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Invent. Math. 97 (1989) 613 MR1005008