On Characteristic Classes of $Q$-manifolds
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 88-91
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Characteristic classes are defined for supermanifolds equipped with a homological vector field $Q$. We construct an infinite series of characteristic classes defined in terms of the second covariant derivatives of $Q$.
Keywords:
homological vector field, $Q$-manifold, characteristic class.
@article{FAA_2008_42_1_a9,
author = {S. L. Lyakhovich and E. A. Mosman and A. A. Sharapov},
title = {On {Characteristic} {Classes} of $Q$-manifolds},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {88--91},
year = {2008},
volume = {42},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a9/}
}
S. L. Lyakhovich; E. A. Mosman; A. A. Sharapov. On Characteristic Classes of $Q$-manifolds. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a9/
[1] A. Yu. Vaintrob, UMN, 52:2 (1997), 161–162 | DOI | MR | Zbl
[2] A. A. Voronov, Yu. I. Manin, I. B. Penkov, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Noveishie dostizheniya, 32, VINITI, M., 1988, 3–25 | MR
[3] R. L. Fernandes, Adv. Math., 170:1 (2002), 119–179 | DOI | MR | Zbl
[4] S. L. Lyakhovich, A. A. Sharapov, Nucl. Phys. B, 703 (2004), 419–453 | DOI | MR | Zbl
[5] A. S. Schwarz, Comm. Math. Phys., 158 (1993), 373–396 | DOI | MR