Virasoro constraints for target curves
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0308097,
title = {Virasoro constraints for target curves},
author = {Andrei Okounkov and Rahul Pandharipande},
journal= {arXiv preprint arXiv:math/0308097},
year = {2007}
}
Comments
80 pages, 6 figures