## Topology Seminar: Claudius Zibrowius

• Date: 09/26/2018
• Time: 14:50
Lecturer(s):
Claudius Zibrowius, UBC
Location:

University of British Columbia

Topic:

Symmetries of the Heegaard Floer theory of 4-ended tangles

Description:

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.

Other Information:

Location: ESB 4133 (PIMS lounge)