Asymptotic spectral flow for Dirac operators of disjoint Dehn twists

Details Asymptotic spectral flow for Dirac operators of disjoint Dehn twists Asymptotic spectral flow for Dirac operators of disjoint Dehn twists

2011-04-26

arxiv.org/abs/1104.5000v1

Mathematics

Differential Geometry

57 pages

Scientific paper

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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