Abstract

To a braid β∈Brn we associate a complex of sheaves Sβ on Hilbn(C2) such that the previously defined triply graded link homology of the closure L(β) is isomorphic to the homology of Sβ. The construction of Sβ relies on the Chern functor CH:MFnst→DC⁎×C⁎per(Hilbn(C2)) defined in the paper together with its adjoint functor HC.

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