Operadic categories and duoidal Deligne's conjecture
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447557" target="_blank" >RIV/67985840:_____/15:00447557 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/15:10335186
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2015.07.008" target="_blank" >http://dx.doi.org/10.1016/j.aim.2015.07.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2015.07.008" target="_blank" >10.1016/j.aim.2015.07.008</a>
Alternative languages
Result language
angličtina
Original language name
Operadic categories and duoidal Deligne's conjecture
Original language description
The purpose of this paper is two-fold. In Part 1 we introduce a new theory of operadic categories and their operads. This theory is, in our opinion, of an independent value. In Part 2 we use this new theory together with our previous results to prove that multiplicative 1-operads in duoidal categories admit, under some mild conditions on the underlying monoidal category, natural actions of contractible 2-operads. The result of D. Tamarkin on the structure of dg-categories, as well as the classical Deligne conjecture for the Hochschild cohomology, is a particular case of this statement.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematics
ISSN
0001-8708
e-ISSN
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Volume of the periodical
285
Issue of the periodical within the volume
5 November
Country of publishing house
US - UNITED STATES
Number of pages
58
Pages from-to
1630-1687
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84941686952