ASYMPTOTIC SPECTRAL FLOW FOR DIRAC OPERATORS OF DISJOINT DEHN TWISTS

作者：Tsai Chung Jun^*

来源：Asian Journal of Mathematics, 2014, 18(4): 633-686.

DOI：10.4310/ajm.2014.v18.n4.a5

• Dirac spectral flow
• open book decomposition
• Dehn twist

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/2a r -> infinity. 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).

• 出版日期2014