On the Index Formula for an Isometric Diffeomorphism

Autor:	Savin, A., Schrohe, E., Sternin, B.
Rok vydání:	2011
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Functional Analysis Mathematics - K-Theory and Homology 58J20 (Primary) 35R10 35R20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 the index) of the operator to an elliptic pseudodifferential operator on a manifold of a higher dimension and an application of an Atiyah--Singer type formula. The final index formula is given in terms of the symbol of the operator on the original manifold. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.5515 Zobrazit plný text záznamu View this record from Arxiv