English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Shifted symplectic Lie algebroids

Pym, B., & Safronov, P. (2020). Shifted symplectic Lie algebroids. International Mathematics Research Notices, 2020(21), 7489-7557. doi:10.1093/imrn/rny215.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0007-0CCB-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-A257-0
Genre: Journal Article

Files

show Files
hide Files
:
1612.09446.pdf (Preprint), 799KB
Name:
1612.09446.pdf
Description:
File downloaded from arXiv at 2020-09-22 13:26
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
Pym-Safronov_Shifted symplectic Lie algebroids_2020.pdf (Publisher version), 4MB
 
File Permalink:
-
Name:
Pym-Safronov_Shifted symplectic Lie algebroids_2020.pdf
Description:
-
Visibility:
Restricted ( Max Planck Society (every institute); )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show
hide
Locator:
https://doi.org/10.1093/imrn/rny215 (Publisher version)
Description:
-

Creators

show
hide
 Creators:
Pym, Brent, Author
Safronov, Pavel1, Author              
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Content

show
hide
Free keywords: Mathematics, Differential Geometry, Algebraic Geometry, Symplectic Geometry
 Abstract: Shifted symplectic Lie and $L_\infty$ algebroids model formal neighbourhoods of manifolds in shifted symplectic stacks, and serve as target spaces for twisted variants of classical AKSZ topological field theory. In this paper, we classify zero-, one- and two-shifted symplectic algebroids and their higher gauge symmetries, in terms of classical geometric "higher structures", such as Courant algebroids twisted by $\Omega^2$-gerbes. As applications, we produce new examples of twisted Courant algebroids from codimension-two cycles, and we give symplectic interpretations for several well known features of higher structures (such as twists, Pontryagin classes, and tensor products). The proofs are valid in the $C^\infty$, holomorphic and algebraic settings, and are based on a number of technical results on the homotopy theory of $L_\infty$ algebroids and their differential forms, which may be of independent interest.

Details

show
hide
Language(s): eng - English
 Dates: 2020
 Publication Status: Published in print
 Pages: 69
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1612.09446
URI: http://arxiv.org/abs/1612.09446
DOI: 10.1093/imrn/rny215
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: International Mathematics Research Notices
  Abbreviation : IMRN
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Oxford University Press
Pages: - Volume / Issue: 2020 (21) Sequence Number: - Start / End Page: 7489 - 7557 Identifier: -