Asymptotic spectral flow for Dirac operators of disjoint Dehn twists
Differential Geometry
2013-07-09 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1104.5000,
title = {Asymptotic spectral flow for Dirac operators of disjoint Dehn twists},
author = {Chung-Jun Tsai},
journal= {arXiv preprint arXiv:1104.5000},
year = {2013}
}
Comments
Various typos corrected