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Braid group actions on matrix factorizations (1510.07588v1)
Published 26 Oct 2015 in math.RT
Abstract: Let $X$ be a smooth scheme with an action of a reductive algebraic group $G$ over an algebraically closed field $k$ of characteristic zero. We construct an action of the extended affine Braid group on the $G$-equivariant absolute derived category of matrix factorizations on the Grothendieck variety times $T*X$ with potential given by the Grothendieck-Springer resolution times the moment map composed with the natural pairing.