WorkshopsAsymptotic spectral flow for Dirac operators of disjoint Dehn twists
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In Taubes's proof of the Weinstein conjecture, a key ingredient is the estimate on the spectral flow of a family of Dirac operators, which is used to obtain the energy bound. When the perturbation is a contact form, much evidence suggests that the asymptotic behavior of the spectral flow function is better. In this talk, we will first explain relevant notions of the spectral flow, and discuss how to improve the spectral flow estimate for some classes of contact forms
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Chung-Jun Tsai
2012-03-18
15:10:00 - 16:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
In Taubes's proof of the Weinstein conjecture, a key ingredient is the estimate on the spectral flow of a family of Dirac operators, which is used to obtain the energy bound. When the perturbation is a contact form, much evidence suggests that the asymptotic behavior of the spectral flow function is better. In this talk, we will first explain relevant notions of the spectral flow, and discuss how to improve the spectral flow estimate for some classes of contact forms