All Stable Characteristic Classes of Homological Vector Fields; Letters in Mathematical Physics; Vol. 94, iss. 3
| Parent link: | Letters in Mathematical Physics: Scientific Journal Vol. 94, iss. 3.— 2010.— [P. 243-261] |
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| Zusammenfassung: | 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. Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
2010
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| Online-Zugang: | http://dx.doi.org/10.1007/s11005-010-0434-0 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=642070 |
| Zusammenfassung: | 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. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1007/s11005-010-0434-0 |