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- W2912689083 abstract "For a smooth quasi-projective surface S over complex numbers we consider the Borel-Moore homology of the stack of coherent sheaves on S with compact support and make this space into an associative algebra by a version of the Hall multiplication. This multiplication involves data (virtual pullbacks) governing the derived moduli stack, i.e., the perfect obstruction theory naturally existing on the non-derived stack. By restricting to sheaves with support of given dimension, we obtain several types of Hecke operators. In particular, we identify R(S), the Hecke algebra of 0-dimensional sheaves. For the flat case S=A^2, we identify R(S) explicitly. For a general S we find the graded dimension of R(S), using the techniques of factorization cohomology." @default.
- W2912689083 created "2019-02-21" @default.
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- W2912689083 date "2019-02-05" @default.
- W2912689083 modified "2023-10-12" @default.
- W2912689083 title "The cohomological Hall algebra of a surface and factorization cohomology" @default.
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