Article (Scientific journals)
Modular classes of Q-manifolds: a review and some applications
Bruce, Andrew
2017In Archivum Mathematicum
Peer reviewed
 

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Keywords :
Q-manifolds; modular classes; characteristic classes
Abstract :
[en] A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold – which is viewed as the obstruction to the existence of a Q-invariant Berezin volume – is not well know. We review the basic ideas and then apply this technology to various examples, including $L_{\infty}$-algebroids and higher Poisson manifolds.
Disciplines :
Mathematics
Author, co-author :
Bruce, Andrew ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Modular classes of Q-manifolds: a review and some applications
Publication date :
December 2017
Journal title :
Archivum Mathematicum
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 16 January 2018

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