An Index Theorem for End-Periodic Toeplitz Operators
发布人: 曹思圆   发布时间: 2021-12-01   浏览次数: 10


*地点:腾讯会议:217 527 174

*主讲人:李一寒 博士后(南开大学)

*主持人:刘博 教授


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.