Duke Mathematical Journal
- Duke Math. J.
- Volume 161, Number 10 (2012), 1863-1926.
Chern characters and Hirzebruch–Riemann–Roch formula for matrix factorizations
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 -space between a pair of matrix factorizations. We also establish -equivariant versions of these results.
Duke Math. J., Volume 161, Number 10 (2012), 1863-1926.
First available in Project Euclid: 27 June 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14A22: Noncommutative algebraic geometry [See also 16S38]
Secondary: 14B05: Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx] 32S25: Surface and hypersurface singularities [See also 14J17] 18E30: Derived categories, triangulated categories
Polishchuk, Alexander; Vaintrob, Arkady. Chern characters and Hirzebruch–Riemann–Roch formula for matrix factorizations. Duke Math. J. 161 (2012), no. 10, 1863--1926. doi:10.1215/00127094-1645540. https://projecteuclid.org/euclid.dmj/1340801626