Proceedings of the American Mathematical Society

Author(s): Jeffrey Fox; Peter Haskell
Journal: Proc. Amer. Math. Soc. 128 (2000), 3715-3721.
MSC (2000): Primary 58J20, 19L10, 19K35
Posted: June 7, 2000
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This paper discusses the role played by perturbed Dolbeault operators in relating the coherent sheaf and elliptic operator perspectives on the

homology of projective varieties. Among the consequences are index formulas for perturbed Dolbeault operators.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 58J20, 19L10, 19K35

Jeffrey Fox
Affiliation: Department of Mathematics, University of Colorado, Boulder, Colorado 80309
Email: jfox@euclid.colorado.edu

Peter Haskell
Affiliation: Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
Email: haskell@math.vt.edu

DOI: 10.1090/S0002-9939-00-05488-5
PII: S 0002-9939(00)05488-5
Keywords: Perturbed Dolbeault operator, homology Todd class, homology Chern character
Received by editor(s): February 4, 1999
Posted: June 7, 2000
Additional Notes: The first author's work was supported by the National Science Foundation.
The second author's work was supported by the National Science Foundation under Grant No. DMS-9800782.
Communicated by: Jozef Dodziuk
Copyright of article: Copyright 2000, American Mathematical Society

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