| Title:
|
Modular classes of Q-manifolds: a review and some applications (English) |
| Author:
|
Bruce, Andrew James |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
203-219 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Q-manifolds |
| Keyword:
|
modular classes |
| Keyword:
|
characteristic classes |
| Keyword:
|
higher Poisson manifolds |
| Keyword:
|
$L_{\infty }$-algebroids |
| MSC:
|
17B66 |
| MSC:
|
53D17 |
| MSC:
|
57R20 |
| MSC:
|
58A50 |
| idZBL:
|
Zbl 06819526 |
| idMR:
|
MR3733067 |
| DOI:
|
10.5817/AM2017-4-203 |
| . |
| Date available:
|
2017-11-22T09:42:06Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146983 |
| . |
| Reference:
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