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arXiv · 1104.5000

Asymptotic spectral flow for Dirac operators of disjoint Dehn twists

Chung-Jun Tsai
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Abstract

Let Y be a compact, oriented 3-manifold with a contact form a. For any Dirac operator D, we study the asymptotic behavior of the spectral flow between D and D+cl(-ira) as r very large. If a is the Thurston-Winkelnkemper contact form whose monodromy is the product of Dehn twists along disjoint circles, we prove that the next order term of the spectral flow function is of order r.

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Chung-Jun Tsai. 2011-04-26. Asymptotic spectral flow for Dirac operators of disjoint Dehn twists. https://arxiv.org/abs/1104.5000

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