Moduli of Sheaves on Blown-up Surfaces
نویسنده
چکیده
connection with the so-called S-duality conjecture of Vafa-Witten. In fact, it is already known that there are explicit \universal" relations between invariants which are independent of the surface X. It is due to Yoshioka [9], under the assumption that moduli spaces are nonsingular projective varieties. His proof uses an ingenious trick, unstable sheaves. Although the proof give us the universal relations among invariants, the relations between moduli spaces are still obscure. For example, the universal relation for Euler numbers of moduli spaces coincides with the charcter formula for the basic representation of the a ne
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