Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms
Journal
Advances in Mathematics
Journal Volume
286
Pages
105-159
Date Issued
2016-01-06
Date
2016-01-06
Author(s)
Abstract
Given an open book decomposition (σ,τ) of a three manifold Y, Thurston and Winkelnkemper [16] construct a specific contact form a on Y. With the result in Part I [18], it implies that the subleading order term of the spectral flow from D0 to Dr is of order r(log r)9/2. Besides the interests of the spectral flow, the method of this paper provides a tool to analyze the Dirac operator on an open book decomposition. © 2015 Elsevier Inc.
Subjects
Dirac spectral flow; Open book decomposition
Type
journal article
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