College of Liberal Arts & Sciences
Topology Seminar
Speaker:
Douglas Lafountain (Western Illinois)
Topic:
"Open book foliations and the transverse Markov theorem"
Abstract:
For closed oriented 3-manifolds with a contact structure supported by an open book decomposition, the transverse Markov theorem states that any two transversely isotopic braids can be related by a sequence of braid isotopies, positive stabilizations and positive destabilizations in that open book. This theorem was first proved by Pavelescu. In this talk we will present a new proof for tight contact 3-manifolds which utilizes Ito-Kawamuro's theory of open book foliations.
Event Date:
November 16, 2017 - 3:00pm to 4:00pm
Location:
105 MLH
Calendar Category:
Seminar