Orbifold techniques in degeneration formulas

Details Orbifold techniques in degeneration formulas Orbifold techniques in degeneration formulas

2011-03-26

arxiv.org/abs/1103.5132v1

Mathematics

Algebraic Geometry

This is a version from September 2010, and lacks discussion of recent break-through results. While the paper is evidently over

Scientific paper

We give an approach for relative and degenerate Gromov--Witten invariants,
inspired by that of Jun Li but replacing predeformable maps by transversal maps
to a twisted target. The main advantage is a significant simplification in the
definition of the obstruction theory. We reprove in our language the
degeneration formula, extending it to the orbifold case.

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