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On circle diffeomorphism groups

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Lecturer 김상현
Dept. 고등과학원
date May 06, 2021

 

For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this group, many of which can distinguish various values of k. (Joint work with Thomas Koberda)

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