Department of Mathematics

Geometry and Topology

  •  Shunyu Wan , University of Virginia
  •  Naturality of Legendrian LOSS invariant under positive contact surgery and application
  •  03/14/2023
  •  11:30 AM - 12:30 PM
  •  C304 Wells Hall
  •  Peter Kilgore Johnson (john8251@msu.edu)

Given a Legendrian Knot L in a contact 3 manifold, one can associate a so-called LOSS invariant to L which lives in the knot Floer homology group. We prove that the LOSS invariant is natural under the positive contact surgery. In this talk I will review some background and definition, get the idea of the proof and try to focus on the application which is about new examples of non-simple knots.

 

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