Geometry and Topology Seminar
Heegaard Floer contact invariants for positive rational surgery
Tom Mark,
Associate Professor,
Mathematics,
University of Virginia,
Motivated by the existence question for tight contact structures
on 3-manifolds, I'll present a naturality result for the contact invariant
in Heegaard Floer theory for contact structures obtained by rational
contact surgery on a Legendrian knot with surgery coefficient at least 1.
As a consequence we obtain nonvanishing results for the contact invariant,
and hence tightness of the corresponding contact structure, in certain
previously unknown cases. This refines and extends a variety of results in
the literature, due variously to Golla, Lisca, and Stipsicz. A key
ingredient in the proof is a not-so-obvious generalization of Baldwin's
theorem on "capping off" to certain open books with monodromy that fixes a
nontrivial separating curve.
For more information, please contact Yi Ni by email at [email protected].
Event Series
Geometry and Topology Seminar Series
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