Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture
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We show that if (M,circle times,I) is a monoidal model category then REnd(M)(I) is a (weak) 2-monoid in sSet. This applies in particular when M is the category of A-bimodules over a simplicial monoid A: the derived endomorphisms of A then form its Hochschild cohomology. which therefore becomes a simplicial 2-monoid.
Originalsprog | Engelsk |
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Tidsskrift | Compositio Mathematica |
Vol/bind | 141 |
Udgave nummer | 1 |
Sider (fra-til) | 253-261 |
Antal sider | 9 |
ISSN | 0010-437X |
DOI | |
Status | Udgivet - jan. 2005 |
Eksternt udgivet | Ja |
ID: 331502675