Vol. 303, No. 1, 2019

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Vol. 297: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Deformations of linear Lie brackets

Pier Paolo La Pastina and Luca Vitagliano

Vol. 303 (2019), No. 1, 265–298
Abstract

A VB-algebroid is a vector bundle object in the category of Lie algebroids. We attach to every VB-algebroid a differential graded Lie algebra and we show that it controls deformations of the VB-algebroid structure. Several examples and applications are discussed. This is the first in a series of papers devoted to deformations of vector bundles and related structures over differentiable stacks.

Keywords
Lie algebroids, VB-algebroids, deformations, graded manifolds, deformation cohomology
Mathematical Subject Classification 2010
Primary: 22A22, 58H05, 58H15
Secondary: 17B55
Milestones
Received: 4 June 2018
Revised: 1 March 2019
Accepted: 2 March 2019
Published: 21 December 2019
Authors
Pier Paolo La Pastina
Department of Mathematics
Sapienza University of Rome
Rome
Italy
Luca Vitagliano
Department of Mathematics
University of Salerno
Fisciano
Italy