Formality theorem for gerbes

Paul  Bressler; Alexander Gorokhovsky; Ryszard Nest; Boris  Tsygand

doi:10.1016/j.aim.2014.11.025

Formality theorem for gerbes

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygand

Institut for Matematiske Fag

4 Citationer (Scopus)

Abstract

The main result of the present paper is an analogue of Kontsevich formality theorem in the context of the deformation theory of gerbes. We construct an _{L_∞L∞} deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.

Originalsprog	Engelsk
Tidsskrift	Advances in Mathematics
Vol/bind	273
Sider (fra-til)	215-241
ISSN	0001-8708
DOI	https://doi.org/10.1016/j.aim.2014.11.025
Status	Udgivet - 9 mar. 2015

Adgang til dokumentet

10.1016/j.aim.2014.11.025

Citationsformater

@article{55ce03166790465f843cb08eeac5877b,

title = "Formality theorem for gerbes",

abstract = "The main result of the present paper is an analogue of Kontsevich formality theorem in the context of the deformation theory of gerbes. We construct an L∞ deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.",

author = "Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygand",

year = "2015",

month = mar,

day = "9",

doi = "10.1016/j.aim.2014.11.025",

language = "English",

volume = "273",

pages = "215--241",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press",

}

TY - JOUR

T1 - Formality theorem for gerbes

AU - Bressler, Paul

AU - Gorokhovsky, Alexander

AU - Nest, Ryszard

AU - Tsygand, Boris

PY - 2015/3/9

Y1 - 2015/3/9

N2 - The main result of the present paper is an analogue of Kontsevich formality theorem in the context of the deformation theory of gerbes. We construct an L∞ deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.

AB - The main result of the present paper is an analogue of Kontsevich formality theorem in the context of the deformation theory of gerbes. We construct an L∞ deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.

U2 - 10.1016/j.aim.2014.11.025

DO - 10.1016/j.aim.2014.11.025

M3 - Journal article

SN - 0001-8708

VL - 273

SP - 215

EP - 241

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Formality theorem for gerbes

Abstract

Adgang til dokumentet

Fingeraftryk

Citationsformater