Junzhi Huang (Yale University)
Event Date
2025-03-19
Event Time
02:30 pm ~ 03:30 pm
Event Location
Wachman 617
In 3-dimension topology, the study of foliations, flows and fundamental group actions on 1-manifolds are closely related. Given a closed 3-manifold, one can construct a fundamental group action on a circle from either a taut foliation or a pseudo-Anosov flow in the manifold by different works of Thurston, Calegari-Dunfield and Fenley. When the foliation is depth-one and the pseudo-Anosov flow is transverse to the foliation, we show (with some extra assumptions) that the circle actions from both settings are topologically conjugate. Moreover, the two circles admit extra structures that are compatible in a natural sense.