Abstract
We study the de Rham complex on a smooth manifold with a periodic end modeled on an infinite cyclic cover 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*(X)→H*(X). We calculate the index of this weighted de Rham complex for all weights away from the exceptional ones.
Original language | English (US) |
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Pages (from-to) | 3689-3700 |
Number of pages | 12 |
Journal | Algebraic and Geometric Topology |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - Jan 15 2015 |
Keywords
- Alexander polynomial
- Periodic end
- de Rham complex
ASJC Scopus subject areas
- Geometry and Topology