https://scholars.lib.ntu.edu.tw/handle/123456789/31811
Title: | Asymptotic spectral flow for Dirac operators of disjoint Dehn twists | Authors: | CHUNG-JUN TSAI | Keywords: | Dehn twist; Dirac spectral flow; Open book decomposition | Issue Date: | 2014 | Journal Volume: | 18 | Journal Issue: | 4 | Start page/Pages: | 633-686 | Source: | Asian Journal of Mathematics | 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. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/271202 http://www.scopus.com/inward/record.url?eid=2-s2.0-84921636485&partnerID=MN8TOARS |
DOI: | 10.4310/AJM.2014.v18.n4.a5 |
Appears in Collections: | 數學系 |
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d_Dehn.pdf | 670.6 kB | Adobe PDF | View/Open |
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