English

Index of nonlocal elliptic boundary value problems associated with isometric group actions

Analysis of PDEs 2019-12-24 v1

Abstract

Given a compact manifold with boundary endowed with an isometric action of a discrete group of polynomial growth, we state an index theorem for elliptic elements in the algebra of nonlocal operators generated by the Boutet de Monvel algebra of pseudodifferential boundary value problems on the manifold and the shift operators associated with the group action.

Keywords

Cite

@article{arxiv.1912.10272,
  title  = {Index of nonlocal elliptic boundary value problems associated with isometric group actions},
  author = {Anton Savin},
  journal= {arXiv preprint arXiv:1912.10272},
  year   = {2019}
}

Comments

10 pages, no figures