2000 character limit reached
Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants (2109.13144v1)
Published 27 Sep 2021 in math.AG
Abstract: We formulate conjectural blowup formulas for Segre and Verlinde numbers on moduli spaces of sheaves on projective surfaces $S$ with $p_g(S)>0$ and $b_1(S)=0$. As applications we give a give a conjectural formula for the Donaldson invariants of $S$ in arbitrary rank, as well as for the $K$-theoretic Donaldson invariants, and some Donaldson invariants with fundamental matters.