Asymptotic spectral flow for Dirac operators of disjoint Dehn twists
Resource
Asian J. Math. 18 (2014), no. 4, 633--686
Journal
Asian Journal of Mathematics
Journal Volume
18
Journal Issue
4
Pages
633-686
Date Issued
2014
Date
2014
Author(s)
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(-ir/2 a) as r → ∞. 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 O(r). © 2014 International Press.
Subjects
Dehn twist; Dirac spectral flow; Open book decomposition
Type
journal article
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