Formality theorem for gerbes

Paul Bressler; Alexander Gorokhovsky; Ryszard Nest; Boris Tsygan

doi:10.1016/j.aim.2014.11.025

Formality theorem for gerbes

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan^*

^*Corresponding author for this work

Mathematics

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

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	215-241
Number of pages	27
Journal	Advances in Mathematics
Volume	273
DOIs	https://doi.org/10.1016/j.aim.2014.11.025
State	Published - Mar 9 2015

Keywords

Deformation quantization
Formality theorem
Gerbes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.aim.2014.11.025

Cite this

@article{1e8927f90b284aff8f18226633b7caf7,

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.",

keywords = "Deformation quantization, Formality theorem, Gerbes",

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

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

month = mar,

day = "9",

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

language = "English (US)",

volume = "273",

pages = "215--241",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Formality theorem for gerbes

AU - Bressler, Paul

AU - Gorokhovsky, Alexander

AU - Nest, Ryszard

AU - Tsygan, 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.

KW - Deformation quantization

KW - Formality theorem

KW - Gerbes

UR - http://www.scopus.com/inward/record.url?scp=84921263793&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84921263793&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2014.11.025

DO - 10.1016/j.aim.2014.11.025

M3 - Article

AN - SCOPUS:84921263793

SN - 0001-8708

VL - 273

SP - 215

EP - 241

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Formality theorem for gerbes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this