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100			_a20150615a2010 k y0engy50 ba
101	0		_aeng
102			_aUS
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aCharacteristic classes of Q-manifolds: Classification and applications _fS. L. Lyakhovich, E. A. Mosman, A. A. Sharapov
203			_aText _celectronic
300			_aTitle screen
320			_a[References: p. 759 (44 tit.)]
330			_aA Q-manifold M is a supermanifold endowed with an odd vector field Q squaring to zero. The Lie derivative LQ along Q makes the algebra of smooth tensor fields on M into a differential algebra. In this paper, we define and study the invariants of Q-manifolds called characteristic classes. These take values in the cohomology of the operator LQ and, given an affine symmetric connection with curvature R, can be represented by universal tensor polynomials in the repeated covariant derivatives of Q and R up to some finite order. As usual, the characteristic classes are proved to be independent of the choice of the affine connection used to define them. The main result of the paper is a complete classification of the intrinsic characteristic classes, which, by definition, do not vanish identically on flat Q-manifolds. As an illustration of the general theory we interpret some of the intrinsic characteristic classes as anomalies in the BV and BFV-BRST quantization methods of gauge theories. An application to the theory of (singular) foliations is also discussed.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tJournal of Geometry and Physics _oScientific Journal
463			_tVol. 60, iss. 5 _v[P. 729–759] _d2010
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
610	1		_aQ-manifolds
610	1		_aCharacteristic classes
610	1		_aGauge theories
700		1	_aLyakhovich _bS. L.
701		1	_aMosman _bE. A. _cmathematician _csenior lecturer of Tomsk Polytechnic University _f1985- _gElena Arkadievna _2stltpush _3(RuTPU)RU\TPU\pers\34834
701		1	_aSharapov _bA. A.
801		2	_aRU _b63413507 _c20150615 _gRCR
856	4		_uhttp://dx.doi.org/10.1016/j.geomphys.2010.01.008
942			_cCF