Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Sternin, B."'
Given a pair of smooth transversally intersecting manifolds in some ambient manifold, we construct an operator algebra generated by pseudodifferential operators and the (co)boundary operators associated with the submanifolds. We show that this algebr
Externí odkaz:
http://arxiv.org/abs/1804.04597
Autor:
Savin, A. Yu., Sternin, B. Yu.
Publikováno v:
J Math Sci 248, 647-660 (2020)
Given a pair $(M,X)$, where $X$ is a smooth submanifold in a closed smooth manifold $M$, we study the operation, which takes each operator $D$ on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace o
Externí odkaz:
http://arxiv.org/abs/1612.02286
Publikováno v:
In Bulletin des sciences mathématiques September 2019 155:141-167
We give an elementary solution of the index problem for elliptic operators associated with the shift operator along the trajectories of an isometric diffeomorphism of a closed smooth manifold. This solution is based on a reduction (which preserves th
Externí odkaz:
http://arxiv.org/abs/1112.5515
Autor:
Savin, A. Yu., Sternin, B. Yu.
Publikováno v:
Proc. Steklov Inst. Math., 271 (2010), 193-211
We study differential operators, whose coefficients define noncommutative algebras. As algebra of coefficients, we consider crossed products, corresponding to action of a discrete group on a smooth manifold. We give index formulas for Euler, signatur
Externí odkaz:
http://arxiv.org/abs/0906.3700
Autor:
Savin, A., Sternin, B.
Publikováno v:
Differential Equations, 2010, Volume 46, Number 8, 1145-1156
Elliptic operators on stratified manifolds with any finite number of strata are considered. Under certain assumptions on the symbols of operators, we obtain index formulas, which express index as a sum of indices of elliptic operators on the strata.<
Externí odkaz:
http://arxiv.org/abs/0812.2055
Publikováno v:
Journal of Mathematical Sciences, 2010, 170:2, 238-250
The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framework of noncommutative geometry. More precisely, to a manifold with edg
Externí odkaz:
http://arxiv.org/abs/0711.4379
Publikováno v:
Journal of Mathematical Sciences, 2010, 170:2, 229-237
We define Atiyah-Bott index on stratified manifolds and express it in topological terms. By way of example, we compute this index for geometric operators on manifolds with edges.
Comment: 12 pages, no figures
Comment: 12 pages, no figures
Externí odkaz:
http://arxiv.org/abs/0711.4385
This paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula of Atiyah-Singer type for elliptic differential operators with shifts
Externí odkaz:
http://arxiv.org/abs/0707.3892
We give an index formula for elliptic differential operators whose coefficients include shifts forming an infinite group.
Comment: 12 pages; v2: minor improvements made
Comment: 12 pages; v2: minor improvements made
Externí odkaz:
http://arxiv.org/abs/0706.3511