Department of Mathematics

Geometry and Topology

  •  Honghao Gao, MSU
  •  Augmentations and sheaves for links
  •  09/12/2019
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall

We study two different invariants of framed oriented links. Augmentations are rank one representations of a non-commutative algebra, whose definition is motivated by Floer homology. Sheaves in microlocal theory can be thought of as generalizations of link group representations. We will demonstrate two constructions going back and forth between these invariants. We will also tell a motivating story behind the scene, using SFT and microlocalization correspondence in symplectic topology.

 

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Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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College of Natural Science