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Asymptotic spectral flow for Dirac operators of disjoint Dehn twists

Asymptotic spectral flow for Dirac operators of disjoint Dehn twists

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 …