Title: Becker-Gottlieb transfer for Hochschild cohomology

Author: Fei Xu

Address: Department of Mathematics, Shantou University, 243 University Road, Shantou, Guangdong 515063, China.

email: fxu@stu.edu.cn

Abstract: Let $G$ be a finite group. Over any finite $G$-poset $\P$ we may define a transporter
category $G\propto\P$ as the corresponding Grothendieck construction. There exists a Becker-Gottlieb
transfer from the ordinary cohomology of $G\propto\P$ to that of G. We shall construct it using
module-theoretic methods and then extend it to a transfer from the Hochschild cohomology of
$k(G\propto\P)$ to that of $kG$, where k is a base field.

Status: Proc. Amer. Math. Soc., to appear.