Relative Gromov-Witten Invariants
Symplectic Geometry
2007-05-23 v3 Algebraic Geometry
Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/9907155,
title = {Relative Gromov-Witten Invariants},
author = {Eleny-Nicoleta Ionel and Thomas H. Parker},
journal= {arXiv preprint arXiv:math/9907155},
year = {2007}
}
Comments
AMS-LaTeX, 52 pages published version