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09-07-2023

史鹏帅:Relative eta invariant and index problems on manifolds with non-compact boundary

题目: Relative eta invariant and index problems on manifolds with non-compact boundary

报告人:史鹏帅(北京理工大学)

时间:7月12日14:00-15:00

地点:腾讯会议518-511-408

摘要: For Dirac-type operators acting on two non-compact Riemannian manifolds, if they coincide at infinity and satisfy certain conditions, one can define their relative eta invariant. This is an extension of the idea of eta invariant to non-compact situations. We will talk about its properties and its role in an APS index formula on manifolds with non-compact boundary. We will also discuss its application in metrics of positive scalar curvature.

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