Abstract
We study the de Rham complex on a smooth manifold with a periodic end modeled on an infinite cyclic cover . The completion of this complex in exponentially weighted norms is Fredholm for all but finitely many exceptional weights determined by the eigenvalues of the covering translation map . We calculate the index of this weighted de Rham complex for all weights away from the exceptional ones.
Citation
Tomasz Mrowka. Daniel Ruberman. Nikolai Saveliev. "Index theory of the de Rham complex on manifolds with periodic ends." Algebr. Geom. Topol. 14 (6) 3689 - 3700, 2014. https://doi.org/10.2140/agt.2014.14.3689
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