Topology Seminar: Claudius Zibrowius

  • Date: 09/26/2018
  • Time: 14:50
Claudius Zibrowius, UBC

University of British Columbia


Symmetries of the Heegaard Floer theory of 4-ended tangles


The Heegaard Floer theory of a 4-ended tangle takes the form ofan immersed curve (with possibly non-trivial local system) on theboundary of the tangle minus the tangle ends. The Heegaard Floerhomology of a link can be computed as the Lagrangian intersectiontheory of the Heegaard Floer homologies of two 4-ended tanglesobtained by splitting the link along an embedded 2-sphere.


I will outline the construction of the tangle invariant, withparticular focus on the action of the mapping class group of the4-punctured sphere. I will then discuss the current state ofsymmetry properties for this invariant in the light of themutation conjecture.

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Location: ESB 4133 (PIMS lounge)