Locally constant n-operads as higher braided operads

Michael A. Batanin

doi:10.4171/JNCG/54

Locally constant n-operads as higher braided operads

Michael A. Batanin

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We introduce a category of locally constant n-operads which can be considered as the category of higher braided operads. For n = 1, 2,∞ the homotopy category of locally constant n-operads is equivalent to the homotopy category of classical nonsymmetric, braided and symmetric operads, respectively.

Original language	English
Pages (from-to)	237-263
Number of pages	27
Journal	Journal of Noncommutative Geometry
Volume	4
Issue number	2
DOIs	https://doi.org/10.4171/JNCG/54
Publication status	Published - 2010

Access to Document

10.4171/JNCG/54

Cite this

@article{29b95e3124ec4fc08981c2ab808640a5,

title = "Locally constant n-operads as higher braided operads",

abstract = "We introduce a category of locally constant n-operads which can be considered as the category of higher braided operads. For n = 1, 2,∞ the homotopy category of locally constant n-operads is equivalent to the homotopy category of classical nonsymmetric, braided and symmetric operads, respectively.",

author = "Batanin, \{Michael A.\}",

year = "2010",

doi = "10.4171/JNCG/54",

language = "English",

volume = "4",

pages = "237--263",

journal = "Journal of Noncommutative Geometry",

issn = "1661-6952",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Locally constant n-operads as higher braided operads

AU - Batanin, Michael A.

PY - 2010

Y1 - 2010

N2 - We introduce a category of locally constant n-operads which can be considered as the category of higher braided operads. For n = 1, 2,∞ the homotopy category of locally constant n-operads is equivalent to the homotopy category of classical nonsymmetric, braided and symmetric operads, respectively.

AB - We introduce a category of locally constant n-operads which can be considered as the category of higher braided operads. For n = 1, 2,∞ the homotopy category of locally constant n-operads is equivalent to the homotopy category of classical nonsymmetric, braided and symmetric operads, respectively.

UR - https://www.scopus.com/pages/publications/77649219160

U2 - 10.4171/JNCG/54

DO - 10.4171/JNCG/54

M3 - Article

AN - SCOPUS:77649219160

SN - 1661-6952

VL - 4

SP - 237

EP - 263

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 2

ER -

Locally constant n-operads as higher braided operads

Abstract

Access to Document

Other files and links

Fingerprint

Cite this