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En-cohomology with coefficients as functor cohomology
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2016 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 16, no 5, 2981-3004 p.Article in journal (Refereed) Published
Abstract [en]

Building on work of Livernet and Richter, we prove that En -homology and En - cohomology of a commutative algebra with coefficients in a symmetric bimodule can be interpreted as functor homology and cohomology. Furthermore, we show that the associated Yoneda algebra is trivial.

Place, publisher, year, edition, pages
Mathematical Sciences Publishers , 2016. Vol. 16, no 5, 2981-3004 p.
Keyword [en]
En-homology, Functor homology, Hochschild homology, Iterated bar construction, Operads
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-202158DOI: 10.2140/agt.2016.16.2981Scopus ID: 2-s2.0-84995691201OAI: oai:DiVA.org:kth-202158DiVA: diva2:1079337
Note

QC 20170308

Available from: 2017-03-08 Created: 2017-03-08 Last updated: 2017-03-08Bibliographically approved

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