Virasoro constraints for target curves

Details Virasoro constraints for target curves Virasoro constraints for target curves

2003-08-11

arxiv.org/abs/math/0308097v1

Mathematics

Algebraic Geometry

80 pages, 6 figures

Scientific paper

We prove generalized Virasoro constraints for the relative Gromov-Witten theories of all nonsingular target curves. Descendents of the even cohomology classes are studied first by localization, degeneration, and completed cycle methods. Descendents of the odd cohomology are then controlled by monodromy and geometric vanishing relations. As an outcome of our results, the relative theories of target curves are completely and explicitly determined.

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