Hochschild cohomology of Fermat type polynomials with non-abelian symmetries

Abstract

N let G f be the non-abelian maximal group of symmetries of f . This is a group generated by all g ∈ GL(N, C), rescaling and permuting the variables, so that f (x) = f (g • x). For any G ⊆ G f we compute explicitly Hochschild cohomology of the category of G-equivarint matrix factorizations of f . We introduce the pairing on it showing that it is a Frobenius algebra.