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1 results

  • Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture

  • Joachim Kock, Bertrand Toën
  • Journal:
    Compositio Mathematica / Volume 141 / Issue 1 / January 2005
    Published online by Cambridge University Press:
    01 December 2004, pp. 253-261
    Print publication:
    January 2005
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  • We show that if $(M,\otimes,I)$ is a monoidal model category then $\mathbb{R}\underline{\rm End}_{M}(I)$ 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.