Mathematics – Algebraic Topology
Scientific paper
2003-04-28
Compositio Math. 141 (2005), 253-261.
Mathematics
Algebraic Topology
9 pages, LaTeX; some references added
Scientific paper
We show that if $(M,\tensor,I)$ 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.
Kock Joachim
Toen Bertrand
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