Crossed interval groups and operations on the Hochschild cohomology

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00433876" target="_blank" >RIV/67985840:_____/14:00433876 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4171/JNCG/167" target="_blank" >http://dx.doi.org/10.4171/JNCG/167</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/JNCG/167" target="_blank" >10.4171/JNCG/167</a>

Result language

angličtina

Original language name

Crossed interval groups and operations on the Hochschild cohomology

Original language description

We prove that the operad B of natural operations on the Hochschild cohomology has the homotopy type of the operad of singular chains on the little disks operad. To achieve this goal, we introduce crossed interval groups and show that B is a certain crossed interval extension of an operad T whose homotopy type is known. This completes the investigation of the algebraic structure on the Hochschild cochain complex that has lasted for several decades.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Noncommutative Geometry

ISSN

1661-6952

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

39

Pages from-to

655-693

UT code for WoS article

000343245300002

EID of the result in the Scopus database

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