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- W2972780966 abstract "We define the secondary Hochschild complex for an entwining structure over a commutative $k$-algebra $B$. We show that this complex carries the structure of a weak comp algebra. We obtain two distinct cup product structures and a Hodge type decomposition for the secondary cohomology groups. We also consider a subcomplex on which the two cup products coincide and which satisfies the axioms for being a comp algebra. The cohomology of this subcomplex then forms a Gerstenhaber algebra. We also construct a bicomplex that controls the deformations of the entwining structure over $B$." @default.
- W2972780966 created "2019-09-19" @default.
- W2972780966 creator A5006087534 @default.
- W2972780966 date "2019-09-12" @default.
- W2972780966 modified "2023-09-27" @default.
- W2972780966 title "Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures" @default.
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