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Pseudo-Anosov Reeb flows and contact structures


报告人: Julian Chaidez, USC

时间: 2025年12月11日,周四,3:20-4:50

地点: 文北楼 102

题目: Pseudo-Anosov Reeb flows and contact structures

摘要:Pseudo-Anosov flows, originally introduced by Thurston, are a broad class of hyperbolic flows on 3-manifolds that are Anosov except along a finite link of singular closed orbits. A longstanding conjecture states that any 3-manifold carries only finitely many transitive pseudo-Anosov flows, up to the appropriate type of equivalence. In this talk, I will explain a proof of this conjecture for a large class of pseudo-Anosov flows that are Reeb, in the appropriate sense. This extends recent work by Barthelme-Bowedn-Mann for Reeb Anosov flows. The proof involves a computation of cylindrical contact homology in this setting. This is joint work in preparation with Yijie Pan (USC).

邀请人:薛金鑫