Refined GW/Kronecker correspondence
Algebraic Geometry
2011-03-29 v1 Representation Theory
Abstract
Gromov-Witten invariants of weighted projective planes and Euler characteristics of moduli spaces of representations of bipartite quivers are related via the tropical vertex, a group of formal automorphisms of a torus. On the Gromov-Witten side, this uses the work of Gross, Pandharipande and Siebert. The quiver moduli side features quiver wall-crossing formulas, functional equations for Euler characteristics, and localization techniques. We derive several explicit formulas for Gromov-Witten invariants.
Cite
@article{arxiv.1103.5283,
title = {Refined GW/Kronecker correspondence},
author = {Markus Reineke and Thorsten Weist},
journal= {arXiv preprint arXiv:1103.5283},
year = {2011}
}
Comments
40 pages