103 citations · 686 across the 101 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.AG2010★ 8 cited
Matrix factorizations and singularity categories for stacks
Alexander Polishchuk, Arkady Vaintrob
We study matrix factorizations of a section W of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau…
math.CT2010★ 29 cited
Hochschild (co)homology of the second kind I
Alexander Polishchuk, Leonid Positselski
We define and study the Hochschild (co)homology of the second kind (known also as the Borel-Moore Hochschild homology and the compactly supported Hochschild cohomology) for curved…
math.AG2010★ 52 cited
Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
Alexander Polishchuk, Arkady Vaintrob
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…