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math.RT2019
Algebraic structure on Tate-Hochschild cohomology of a Frobenius algebra
Satoshi Usui
We study cup product and cap product in Tate-Hochschild theory for a finite dimensional Frobenius algebra. We show that Tate-Hochschild cohomology ring equipped with cup product is…
math.RT2019
A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra
Tomohiro Itagaki, Katsunori Sanada, Satoshi Usui
We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra.We construct a Batalin-Vilkovisky differential on the complete co…