103 citations · 686 across the 101 of their papers we have counts for
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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.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…