On blowup formulae for the S-duality conjecture of Vafa and Witten

Details On blowup formulae for the S-duality conjecture of Vafa and Witten On blowup formulae for the S-duality conjecture of Vafa and Witten

1998-05-12

arxiv.org/abs/math/9805054v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

10.1007/s002220050316

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.

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