Line-Bundles on Stacks of Relative Maps
Algebraic Geometry
2007-05-23 v1
Abstract
This paper provides some technical results needed in "Formalism for Relative Gromov-Witten Invariants." We study line-bundles on the moduli stacks of relative stable and rubber maps that are used to define relative Gromov-Witten invariants in the sense of J. Li. Relations between these line-bundles yield degeneration formulae. In addition we prove a technical result called the Trivial Cylinders Theorem.
Keywords
Cite
@article{arxiv.math/0507322,
title = {Line-Bundles on Stacks of Relative Maps},
author = {Eric Katz},
journal= {arXiv preprint arXiv:math/0507322},
year = {2007}
}