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

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Standard

Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture. / Kock, J; Toen, B.

I: Compositio Mathematica, Bind 141, Nr. 1, 01.2005, s. 253-261.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kock, J & Toen, B 2005, 'Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture', Compositio Mathematica, bind 141, nr. 1, s. 253-261. https://doi.org/10.1112/S0010437X04001009

APA

Kock, J., & Toen, B. (2005). Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture. Compositio Mathematica, 141(1), 253-261. https://doi.org/10.1112/S0010437X04001009

Vancouver

Kock J, Toen B. Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture. Compositio Mathematica. 2005 jan.;141(1):253-261. https://doi.org/10.1112/S0010437X04001009

Author

Kock, J ; Toen, B. / Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture. I: Compositio Mathematica. 2005 ; Bind 141, Nr. 1. s. 253-261.

Bibtex

@article{f704c172f34148e7bc41dd7a2d341dfe,
title = "Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture",
abstract = "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.",
keywords = "model categories, simplicial categories, Deligne conjecture, Hochschild cohomology, CATEGORIES, ALGEBRAS, OPERADS",
author = "J Kock and B Toen",
year = "2005",
month = jan,
doi = "10.1112/S0010437X04001009",
language = "English",
volume = "141",
pages = "253--261",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture

AU - Kock, J

AU - Toen, B

PY - 2005/1

Y1 - 2005/1

N2 - 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.

AB - 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.

KW - model categories

KW - simplicial categories

KW - Deligne conjecture

KW - Hochschild cohomology

KW - CATEGORIES

KW - ALGEBRAS

KW - OPERADS

U2 - 10.1112/S0010437X04001009

DO - 10.1112/S0010437X04001009

M3 - Journal article

VL - 141

SP - 253

EP - 261

JO - Compositio Mathematica

JF - Compositio Mathematica

SN - 0010-437X

IS - 1

ER -

ID: 331502675