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arXiv · 2109.13144

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

Lothar Göttsche
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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.

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Lothar Göttsche. 2021-09-27. Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants. https://arxiv.org/abs/2109.13144

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