On blowup formulae for the S-duality conjecture of Vafa and Witten
Algebraic Geometry
2009-10-31 v1
Abstract
This is the first part of two papers. In this part, we prove the blowup formulae for virtual Hodge polynomials of Gieseker moduli spaces of rank-2 stable sheaves and Uhlenbeck compactification spaces over algebraic surfaces. In particular, we verify the blowup formulae for the S-duality conjecture of Vafa-Witten, i.e. the blowup formulae for the Euler numbers of instanton moduli spaces over algebraic surfaces.
Keywords
Cite
@article{arxiv.math/9805054,
title = {On blowup formulae for the S-duality conjecture of Vafa and Witten},
author = {Wei-Ping Li and Zhenbo Qin},
journal= {arXiv preprint arXiv:math/9805054},
year = {2009}
}
Comments
24 pages