Vol. 4, No. 7, 2010
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Hochschild cohomology and homology of quantum complete intersections

Steffen Oppermann
Vol. 4 (2010), No. 7, 821–838
DOI: 10.2140/ant.2010.4.821
Abstract

We compute the Hochschild cohomology and homology for arbitrary finite-dimensional quantum complete intersections. It turns out that their behavior varies widely, depending on the choice of commutation parameters, and we give precise criteria for when to expect what behavior.

Keywords
Hochschild cohomology, Hochschild homology, quantum complete intersection
Mathematical Subject Classification 2000
Primary: 16E40
Secondary: 81R50, 16U80, 16S80
Milestones
Received: 26 November 2008
Revised: 27 August 2010
Accepted: 1 October 2010
Published: 29 January 2011
Authors
Steffen Oppermann
Institutt for matematiske fag
Norwegian University of Science and Technology
7491 Trondheim
Norway
http://www.math.ntnu.no/~opperman/