Arxiv
| Presentation Name🌮： | An Index theorem for end-periodic Toeplitz operator |
|---|---|
| Presenter🤾🏽♂️： | 李一寒 博士 |
| Date： | 2021-08-04 |
| Location↗️💅： | 腾讯会议208 331 165，密码: 040821 |
| Abstract🪷： | In this talk💁🏼♂️，I will present a recent result on the index theorem for End-Periodic Toeplitz operators. This result can be viewed as a generalization of the theorem by Dai and Zhang for Toeplitz operators on manifolds with boundary and also an odd-dimensional analogue of the index theorem for end-periodic Dirac operators by Mrowka-Ruberman-Saveliev. In particular👳🏽♀️，we find a new eta-type invariant in the result and we will show its relation with the eta-type invariant introduced by Dai-Zhang. The approach follows mainly the heat kernel method with a b-calculus-like modification. In the proof🕛，we also introduce a b-eta invariant and a variation formula for it. This is a joint work with professor Guangxiang Su. |
| Annual Speech Directory： | No.209 |
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