Comparing Absolute and relative Gromov--Witten invariants
Symplectic Geometry
2008-09-23 v1 Algebraic Geometry
Abstract
This note compares the usual (absolute) Gromov-Witten invariants of a symplectic manifold with the invariants that count the curves relative to a (symplectic) divisor D. We give explicit examples where these invariants differ even though it seems at first that they should agree, for example when counting genus zero curves in a class \be such that \be\cdot D=0. The main tool is the decomposition formula in the form developed by A. Li--Ruan.
Cite
@article{arxiv.0809.3534,
title = {Comparing Absolute and relative Gromov--Witten invariants},
author = {Dusa McDuff},
journal= {arXiv preprint arXiv:0809.3534},
year = {2008}
}
Comments
23 pages, 2 figures