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arXiv · 0804.3067

Degeneracy loci of families of Dirac operators

Thomas G. Leness
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Abstract

Generalizing some results from R. Leung's thesis, we compute, in rational cohomology, the Poincare dual of the degeneracy locus of the family of Dirac operators parameterized by the moduli space of projectively anti-self-dual $\SO(3)$ connections. This is the first step in a program to derive a relation between the Donaldson and spin invariants.

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Thomas G. Leness. 2008-04-18. Degeneracy loci of families of Dirac operators. https://arxiv.org/abs/0804.3067

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