Line-Bundles on Stacks of Relative Maps

Details Line-Bundles on Stacks of Relative Maps Line-Bundles on Stacks of Relative Maps

2005-07-15

arxiv.org/abs/math/0507322v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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