Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology /

In this monograph, we extend S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore we establish an explicit description of an isomorphism by A. Neeman and V. Retakh, which links Ext-groups with fundame...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Hermann, Reiner, 1986- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 2016.
Series:Memoirs of the American Mathematical Society ; no. 1151.
Subjects:
Homotopy theory.
Geometry, Algebraic.
Associative rings.
Rings (Algebra)
Homotopie.
Géométrie algébrique.
Anneaux associatifs.
Anneaux (Algèbre)
Associative rings
Geometry, Algebraic
Homotopy theory
Online Access:Texto completo
Table of Contents:
  • Introduction
  • Prerequisites
  • Extension categories
  • The Retakh isomorphism
  • Hochschild cohomology
  • A bracket for monoidal categories
  • Application I: The kernel of the Gerstenhaber bracket
  • Application II: The Ext-algebra of the identity functor
  • Appendix A. Basics
  • Bibliography.

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