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Perturbed Dolbeault operators and the homology Todd class |
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| Authors: | Jeffrey Fox Peter Haskell |
| Affiliation: | 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 |
| Keywords: | Perturbed Dolbeault operator homology Todd class homology Chern character |
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homology of projective varieties. Among the consequences are index formulas for perturbed Dolbeault operators.