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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

4 Citations (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.

Original language	English
Journal	Advances in Mathematics
Volume	273
Pages (from-to)	215-241
ISSN	0001-8708
DOIs	https://doi.org/10.1016/j.aim.2014.11.025
Publication status	Published - 2015

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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∞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",

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language = "English",

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pages = "215--241",

journal = "Advances in Mathematics",

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AU - Bressler, Paul

AU - Gorokhovsky, Alexander

AU - Nest, Ryszard

AU - Tsygand, Boris

PY - 2015

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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∞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∞L∞ deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.

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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 -