Index theory of the de Rham complex on manifolds with periodic ends
Author(s)
Ruberman, Daniel; Saveliev, Nikolai; Mrowka, Tomasz S
DownloadMrowka_Index theory.pdf (126.6Kb)
OPEN_ACCESS_POLICY
Open Access Policy
Creative Commons Attribution-Noncommercial-Share Alike
Terms of use
Metadata
Show full item recordAbstract
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 translation map H[subscript ∗] ([tilde over X])→H[subscript ∗] ([tilde over X]). We calculate the index of this weighted de Rham complex for all weights away from the exceptional ones.
Date issued
2015-01Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Algebraic & Geometric Topology
Publisher
Mathematical Sciences Publishers
Citation
Mrowka, Tomasz, Daniel Ruberman, and Nikolai Saveliev. “Index Theory of the de Rham Complex on Manifolds with Periodic Ends.” Algebraic & Geometric Topology 14.6 (2015): 3689–3700.
Version: Original manuscript
ISSN
1472-2739
1472-2747