Department of Mathematics

Geometry and Topology

  •  Angela Wu, Louisiana State
  •  Obstructing Lagrangian concordance
  •  05/25/2022
  •  3:00 PM - 4:00 PM
  •  C304 Wells Hall (Virtual Meeting Link)
  •  Honghao Gao (gaohongh@msu.edu)

Two knots are said to be concordant if they jointly form the boundary of a cylinder in four-dimensional Euclidean space. In the symplectic setting, we say they are Lagrangian concordant if the knots are Legendrian and the cylinder is Lagrangian. We can ask: what Legendrian knots can be both concordant to and from the unstabilized Legendrian unknot? In this talk I'll explain a strategy that can be used to obstruct many knots from this double concordance.

 

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Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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