Index theory of the de Rham complex on manifolds with periodic ends

We study the de Rham complex on a smooth manifold with a periodic end modeled on an infinite cyclic cover [tilde over X]→X. The completion of this complex in exponentially weighted L² norms is Fredholm for all but finitely many exceptional weights determined by the eigenvalues of the covering transl...

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Bibliographic Details
Main Authors: Ruberman, Daniel, Saveliev, Nikolai, Mrowka, Tomasz S
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Mathematical Sciences Publishers 2016
Online Access:http://hdl.handle.net/1721.1/104374
https://orcid.org/0000-0001-9520-6535