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A survey of bridge trisections, I

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Speaker: 
Alex Zupan
Zugehörigkeit: 
University of Nebraska-Lincoln/MPIM
Datum: 
Mon, 2019-10-07 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

In 2015, Jeff Meier and I introduced bridge trisections of knotted surfaces in the 4-sphere, a natural adaptation of Gay-Kirby trisections.  Bridge trisections also give rise to tri-plane diagrams, a new way of doing knotted surface theory that reflects classical knot theory.  In later work, we extended the definition of bridge trisections to surfaces in arbitrary 4-manifolds.  We will survey some examples, current results, and open questions.

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