Poincaré duality in Hochschild (co)homology

Kraehmer, U. (2006) Poincaré duality in Hochschild (co)homology. In: New Techniques in Hopf Algebras and Graded Ring Theory, Brussels, 19-23 Sept 2006, pp. 117-126.

Abstract

These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms of Ischebeck’s spectral sequence [Isch69] and a detailed discussion of the commutative case, plus some motivating background material. The reader is assumed to be familiar with standard homological algebra, but the commutative algebra and algebraic geometry needed to understand the commutative case is recalled.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Kraehmer, Dr Ulrich
• Authors: Kraehmer, U.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Copyright Holders: Copyright © 2006 The Author
• First Published: First published in New Techniques in Hopf Algebras and Graded Ring Theory 117-126
• Publisher Policy: Reproduced with permission of the author