Degeneracy loci of families of Dirac operators
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- by Thomas G. Leness PDF
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Abstract:
Generalizing some results from R. Leung’s thesis, we compute, in rational cohomology, the Poincaré dual of the degeneracy locus of the family of Dirac operators parameterized by the moduli space of projectively anti-self-dual $\operatorname {SO}(3)$ connections on a closed four-manifold. This should be a useful tool in comparing gauge theoretic invariants of smooth four-manifolds.References
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Additional Information
- Thomas G. Leness
- Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
- Email: lenesst@fiu.edu
- Received by editor(s): November 23, 2009
- Received by editor(s) in revised form: March 4, 2011
- Published electronically: June 12, 2012
- Additional Notes: The author was supported in part by a Florida International University Faculty Research Grant and by NSF grant DMS #0905786.
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 5995-6008
- MSC (2010): Primary 53C07, 57R57, 58J05, 58J20, 58J52
- DOI: https://doi.org/10.1090/S0002-9947-2012-05679-0
- MathSciNet review: 2946940