406 research outputs found
On blowup formulae for the S-duality conjecture of Vafa and Witten
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.Comment: 24 page
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