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Caltech/USC/UCLA Joint Topology Seminar

Monday, November 5, 2018
5:00pm to 6:00pm
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Linde Hall 310
A Floer homology invariant for 3-orbifolds via bordered Floer theory
Biji Wong, CIRGET, Univ. of Montreal,

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.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].