paper

Abelian Vortices on Nodal and Cuspidal Curves

arXiv:0909.1877 · doi:10.1088/1126-6708/2009/11/111

Abstract

We compute the Euler characteristics of the moduli spaces of abelian vortices on curves with nodal and cuspidal singularities. This generalizes our previous work where only nodes were taken into account. The result we obtain is again consistent with the expected reconciliation between the vortex picture of D2-D0 branes and the proposal by Gopakumar and Vafa.

6 pages