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arXiv · 2009.07549

Hyperbolicity, irrationality exponents and the eta invariant

Nikhil Savale
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Abstract

We consider the remainder term in the semiclassical limit formula for the eta invariant on a metric contact manifold, proving in general that it is controlled by volumes of recurrence sets of the Reeb flow. This particularly gives a logarithmic improvement of the remainder for Anosov Reeb flows, while for certain elliptic flows the improvement is in terms of irrationality measures of corresponding Floquet exponents.

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BibTeXRIS

Nikhil Savale. 2020-09-16. Hyperbolicity, irrationality exponents and the eta invariant. https://doi.org/10.1080/03605302.2021.2018711

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