Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants

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.

References in corpus (7)

• On the Cobordism Class of the Hilbert Scheme of a Surface
• Universal Series for Hilbert Schemes and Strange Duality
• Virtual Segre and Verlinde numbers of projective surfaces
• Verlinde formulae on complex surfaces: K-theoretic invariants
• Superconformal simple type and Witten's conjecture
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Cited by in corpus (1)

• Virtual Segre and Verlinde numbers of projective surfaces