Centers and homotopy centers in enriched monoidal categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00377482" target="_blank" >RIV/67985840:_____/12:00377482 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2012.04.011" target="_blank" >http://dx.doi.org/10.1016/j.aim.2012.04.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2012.04.011" target="_blank" >10.1016/j.aim.2012.04.011</a>

Result language
angličtina
Original language name
Centers and homotopy centers in enriched monoidal categories
Original language description
We consider a theory of centers and homotopycenters of monoids in monoidalcategories which themselves are enriched in duoidal categories. The duoidal categories (introduced by Aguiar and Mahajan under the name 2-monoidalcategories) are categories with two monoidal structures which are related by some, not necessary invertible, coherence morphisms. Centers of monoids in this sense include many examples which are not classical.? In particular, the 2-category of categories is an example of a center in oursense. Examples of homotopycenter (analogue of the classical Hochschild complex) include the -category of 2-categories, 2-functors and pseudonatural transformations and Tamarkin?s homotopy 2-category of dg-categories, dg-functors and coherent dg-transformations.
Czech name
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Czech description
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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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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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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