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We show that a holomorphic two-form $\theta$ on a smooth algebraic variety X localizes the virtual fundamental class of the moduli of stable maps $\mgn(X,\beta)$ to the locus where $\theta$ degenerates; it then enables us to define the localized GW-invariant, an algebro-geometric analogue of the local invariant of Lee and Parker in symplectic geometry, which coincides with the ordinary GW-invariant when X is proper.
J. Harris, Theta characteristics on algebraic curves. Trans. Amer. Math. Soc. 271, no. 2 (1982) 611-638
1982
Earlier work this paper cites.
E. Arbarello, M. Cornalba, P. Griffiths and J. Harris, Geometry of algebraic curves
1985
Earlier work this paper cites.
K. Behrend and B. Fantechi, The intrinsic normal cone
1997
Earlier work this paper cites.
C. Radoux. Nombres de Catalan généralisés
1997
Earlier work this paper cites.
W. Fulton. Intersection theory. Second edition
1998
Earlier work this paper cites.
J. Li and G. Tian. Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
1998
Cited alongside, same era.
A. Kresch. Cycle groups for Artin stacks
1999
Cited alongside, same era.
J. Li and G. Tian, Comparison of algebraic and symplectic Gromov-Witten invariants
1999
Cited alongside, same era.
C. Faber and R. Pandharipande, Hodge integrals and Gromov-Witten theory
2000
Cited alongside, same era.
T. Graber and R. Pandharpande. Hodge integrals and Gromov-Witten theory
2000
Cited alongside, same era.
K. Behrend. Donaldson-Thomas invariants via microlocal geometry
Cited in the paper.
F. Catanese, private communication
Cited in the paper.
T. Coates and A. Givental. Quantum Riemann-Roch, Lefschetz and Serre
Cited in the paper.
Y-H. Kiem and J. Li, in preparation
Cited in the paper.
Y-H. Kiem and J. Li, in preparation
Cited in the paper.
J. Lee. Holomorphic 2-forms and Vanishing Theorems for Gromov-Witten Invariants
Cited in the paper.
J. Lee and T. Parker. A Structure Theorem for the Gromov-Witten Invariants of Kahler Surfaces
Cited in the paper.
J. Li. Stable morphisms to singular schemes and relative stable morphisms
2001
Later among the works it cites.
A-M. Li and Y. Ruan, Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
2001
Later among the works it cites.
J. Li. A degeneration formula of GW-invariants
2002
Later among the works it cites.
E. Ionel and T. Parker. The symplectic sum formula for Gromov-Witten invariants
2004
Later among the works it cites.
A. Okounkov and R. Pandharipande. Virasoro constraints for target curves
2006
Later among the works it cites.
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