Elliptic G-Operators on Manifolds with Isolated Singularities
- Authors: Savin A.Y.1,2, Sternin B.Y.1,2
-
Affiliations:
- RUDN University
- Leibniz Universität Hannover
- Issue: Vol 233, No 6 (2018)
- Pages: 930-948
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241723
- DOI: https://doi.org/10.1007/s10958-018-3973-z
- ID: 241723
Cite item
Abstract
In the present work we study elliptic operators on manifolds with singularities in the situation where the manifold is endowed with an action of a discrete group G. As usual in elliptic theory, the Fredholm property of an operator is governed by the properties of its principal symbol. We show that the principal symbol in our situation is a pair consisting of the symbol on the main stratum (interior symbol) and the symbol at the conical point (conormal symbol). The Fredholm property of elliptic elements is obtained.
About the authors
A. Yu. Savin
RUDN University; Leibniz Universität Hannover
Author for correspondence.
Email: antonsavin@mail.ru
Russian Federation, Moscow; Hannover
B. Yu. Sternin
RUDN University; Leibniz Universität Hannover
Email: antonsavin@mail.ru
Russian Federation, Moscow; Hannover