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- W2787528686 abstract "We study a naturally occurring $E_{infty}$-subalgebra of the full $E_2$-Hochschild cochain complex arising from coherent cochains. For group rings and certain category algebras, these cochains detect $H^*(B {cal{C}})$, the simplicial cohomology of the classifying space of the underlying group or category, $cal{C}$. In this setting the simplicial cup product of cochains on $B{cal{C}}$ agrees with the Gerstenhaber product and Steenrod's cup-one product of cochains agrees with the pre-Lie product. We extend the idea of coherent cochains to algebras more general than category algebras and dub the resulting cochains autopoietic. Coefficients are from a commutative ring $k$ with unit, not necessarily a field." @default.
- W2787528686 created "2018-02-23" @default.
- W2787528686 creator A5052521296 @default.
- W2787528686 date "2018-02-08" @default.
- W2787528686 modified "2023-09-27" @default.
- W2787528686 title "Hochschild and Simplicial Cohomology" @default.
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