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Circle actions of 3-manifold groups

김수현 0 8778
구분 Rookies Pitch (BK21 FOUR 신진연구자 연구발표회)
일정 2021-09-07 16:00 ~ 16:30
강연자 김경로 (서울대학교)
기타
담당교수 서인석
https://snu-ac-kr.zoom.us/j/2473239867  When we study 3-manifolds, we can think of 3-manifolds as unions of disjoint collections of 2-manifolds. Such structures are called foliations. Each 2-manifold in foliations is called a leaf. The configuration of leaves gives a 1-dimensional manifold which contains the transversal information. By Thurston and Calegari-Dunfield, it was shown that any fundamental group of an atoroidal 3-manifold with taut foliation acts on a circle, so-called a universal circle, by orientation preserving homeomorphisms. From the proof, we may observe that the universal circle actions preserve pairs of laminations of the circle. In this talk, I introduce the study of laminar groups which is a subgroup of orientation preserving circle homeomorphisms, preserving circle laminations.

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