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15 July 2012 Chern characters and Hirzebruch–Riemann–Roch formula for matrix factorizations
Alexander Polishchuk, Arkady Vaintrob
Duke Math. J. 161(10): 1863-1926 (15 July 2012). DOI: 10.1215/00127094-1645540

Abstract

We study the category of matrix factorizations for an isolated hypersurface singularity. We compute the canonical bilinear form on the Hochschild homology of this category. We find explicit expressions for the Chern character and the boundary-bulk maps and derive an analogue of the Hirzebruch–Riemann–Roch formula for the Euler characteristic of the Hom-space between a pair of matrix factorizations. We also establish G-equivariant versions of these results.

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Alexander Polishchuk. Arkady Vaintrob. "Chern characters and Hirzebruch–Riemann–Roch formula for matrix factorizations." Duke Math. J. 161 (10) 1863 - 1926, 15 July 2012. https://doi.org/10.1215/00127094-1645540

Information

Published: 15 July 2012
First available in Project Euclid: 27 June 2012

zbMATH: 1249.14001
MathSciNet: MR2954619
Digital Object Identifier: 10.1215/00127094-1645540

Subjects:
Primary: 14A22
Secondary: 14B05, 18E30, 32S25

Rights: Copyright © 2012 Duke University Press

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Vol.161 • No. 10 • 15 July 2012
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