Topology Seminar: Biji Wong
Topic
A Floer homology invariant for 3-orbifolds via bordered Floer theory
Speakers
Details
Using bordered Floer theory, we construct an invariant for 3-orbifolds with singular set a knot that generalizes the hat flavor of Heegaard Floer homology. We show that for a large class of 3-orbifolds the orbifold invariant behaves like HF-hat in that the orbifold invariant, together with a relative Z_2-grading, categorifies the order of H_1^orb. When the 3-orbifold arises as Dehn surgery on an integer-framed knot in S^3, we use the {-1,0,1}-valued knot invariant epsilon to determine the relationship between the orbifold invariant and HF-hat of the 3-manifold underlying the 3-orbifold.
Additional Information
ESB 4133 (PIMS Lounge)
Biji Wong, CIRGET
Biji Wong, CIRGET
This is a Past Event
Event Type
Scientific, Seminar
Date
December 6, 2018
Time
-
Location