Degeneracy loci of families of Dirac operators
classification
🧮 math.DG
math.GT
keywords
degeneracydiracoperatorsanti-self-dualcohomologycomputeconnectionsderive
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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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