Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture
Research output: Contribution to journal › Journal article › Research › peer-review
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.
| Original language | English |
|---|---|
| Journal | Compositio Mathematica |
| Volume | 141 |
| Issue number | 1 |
| Pages (from-to) | 253-261 |
| Number of pages | 9 |
| ISSN | 0010-437X |
| DOIs | |
| Publication status | Published - Jan 2005 |
| Externally published | Yes |
- model categories, simplicial categories, Deligne conjecture, Hochschild cohomology, CATEGORIES, ALGEBRAS, OPERADS
Research areas
ID: 331502675