Title: Improved Kunneth Tricks 

Author: Amnon Yekutieli

Publication status: 

• Eprint  https://arxiv.org/abs/2308.01103

Abstract: 

The Kunneth trick is a formula for the top cohomology of the derived tensor product of two complexes of modules over a ring.

In this note we present two improvements of this formula. The first improved Kunneth trick is a formula for the top cohomology of the plain tensor product of two DG modules over a nonpositive DG ring. The second trick handles the derived tensor product of two DG modules over a nonpositive DG ring. The proofs are elementary.

updated 5 Aug 2023