On elliptic differential operators with shifts: II. The cohomological index formula

Autor:	Nazaikinskii, V. E., Savin, A. Yu., Sternin, B. Yu.
Rok vydání:	2007
Předmět:	Mathematics - Operator Algebras Mathematics - Analysis of PDEs Mathematics - K-Theory and Homology 46L80 (Primary) 19K56 58J40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 acting between section spaces of arbitrary vector bundles. The key step is the construction of closed graded traces on certain differential algebras over the symbol algebra for this class of operators. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0707.3892 Zobrazit plný text záznamu View this record from Arxiv