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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| 第一著者: | |
| その他の著者: | |
| 要約: | 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 |
| 言語: | 英語 |
| 出版事項: |
2010
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| 主題: | |
| オンライン･アクセス: | http://dx.doi.org/10.1007/s11005-010-0434-0 |
| フォーマット: | 電子媒体 図書の章 |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=642070 |
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| 200 | 1 | |a All Stable Characteristic Classes of Homological Vector Fields |f E. A. Mosman, A. A. Sharapov | |
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| 300 | |a Title screen | ||
| 320 | |a [References: p. 261 (24 tit.)] | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Letters in Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 94, iss. 3 |v [P. 243-261] |d 2010 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a Q-manifolds | |
| 610 | 1 | |a characteristic classes | |
| 610 | 1 | |a gauge theories | |
| 700 | 1 | |a Mosman |b E. A. |c mathematician |c senior teacher pf Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1985- |g Elena Arkadievna |3 (RuTPU)RU\TPU\pers\34834 |9 18171 | |
| 701 | 1 | |a Sharapov |b A. A. | |
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| 856 | 4 | |u http://dx.doi.org/10.1007/s11005-010-0434-0 | |
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