Stein fillings of contact torus bundles

Speaker(s)

Ciprian Manolescu

Affiliation

UCLA

Date

June 2, 2015, 2:30 p.m.

Room

room 4070

Seminar

Seminar Algebraic Topology

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Using the conjugation symmetry on Heegaard Floer complexes,
we define a three-manifold invariant called involutive Heegaard Floer  homology, which is meant to correspond to Z/4-equivariant
Seiberg-Witten Floer homology. Further, we obtain two new numerical invariants of homology cobordism, explicitly computable for surgeries on L-space knots (such as torus knots) and thin knots (such as alternating knots). As applications, we give new bounds on the slice genus of alternating knots. This is joint work with Kristen Hendricks.

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