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Perturbed Dolbeault operators and the homology Todd class
Authors:Jeffrey Fox  Peter Haskell
Institution:Department of Mathematics, University of Colorado, Boulder, Colorado 80309 ; Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
Abstract:

This paper discusses the role played by perturbed Dolbeault operators in relating the coherent sheaf and elliptic operator perspectives on the $K$ homology of projective varieties. Among the consequences are index formulas for perturbed Dolbeault operators.

Keywords:Perturbed Dolbeault operator  homology Todd class  homology Chern character
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