All Stable Characteristic Classes of Homological Vector Fields

Bibliographic Details
Parent link:Letters in Mathematical Physics: Scientific Journal
Vol. 94, iss. 3.— 2010.— [P. 243-261]
Main Author: Mosman E. A. Elena Arkadievna
Other Authors: Sharapov A. A.
Summary:Title screen
An odd vector field Q on a supermanifold M is called homological, if Q 2 = 0. The operator of Lie derivative L Q makes the algebra of smooth tensor fields on M into a differential tensor algebra. In this paper, we give a complete classification of certain invariants of homological vector fields called characteristic classes. These take values in the cohomology of the operator L Q and are represented by Q-invariant tensors made up of the homological vector field and a symmetric connection on M by means of the algebraic tensor operations and covariant differentiation.
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Language:English
Published: 2010
Subjects:
Online Access:http://dx.doi.org/10.1007/s11005-010-0434-0
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=642070