Geodesic
Relative Gromov-Witten invariants
Eleny-Nicoleta Ionel ; Thomas H. Parker1
1Department of Mathematics, Michigan State University, East Lansing, MI 48824
Annals of mathematics, Tome 157 (2003) no. 1, pp. 45-96
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We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of ‘$V$-stable’ maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Harris.

DOI : 10.4007/annals.2003.157.45

Eleny-Nicoleta Ionel    ; Thomas H. Parker  1

1 Department of Mathematics, Michigan State University, East Lansing, MI 48824 
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Eleny-Nicoleta Ionel; Thomas H. Parker. Relative Gromov-Witten invariants. Annals of mathematics, Tome 157 (2003) no. 1, pp. 45-96. doi: 10.4007/annals.2003.157.45

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