오리톢 [902596] · MS 2019 · 쪽지

2022-12-30 05:40:19
조회수 1,595

3-mfd

게시글 주소: https://orbi.kr/00060916397

1. (Virtual Haken Conjecture, Ian Agol) Let M be a closed aspherical 3-manifold. Then there is a finite cover which is Haken.

2. (Virtual fibering Conjecture, Ian Agol) Let M be a closed hyperbolic 3-manifold. Then there is a finite cover that fibers over the circle.

3. (Dunfield, Thurston) The probability of a random 3-manifold of genus 2 having an abelian cover with a positive Betti number is asymptotically zero (Here, random 3-manifold means taking Heegaard splitting).


연말이라 슬쩍 들어와 봤는데, '오르비 탈퇴는 과연 언제 할 것인가'는 아직 open question.

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