Topology Seminar

Douglas Lafountain (Western Illinois)
"Open book foliations and the transverse Markov theorem"

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
105 MLH
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