The vanishing of the contact invariant in the presence of torsion

By P. Ghiggini, K. Honda, Jeremy Van Horn-Morris. 2007

53 citations recorded by the source corpus.

We prove that the Ozsvath-Szabo contact invariant of a closed contact 3-manifold with positive Giroux torsion vanishes.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4176d3039d0af49081dae7b5bc6fac9a45bf083f

How researchers see this paper

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In Applied Mathematics

1. Chris Wendl

In Geometry and Topology

1. Chris Wendl
2. Michael Hutchings
3. J. Pardon

In Mathematical Physics

1. Chris Wendl
2. Michael Hutchings
3. J. Pardon

Citations in the corpus

• Strongly fillable contact manifolds and $J$-holomorphic foliations (2008, methodology): “Recently, D. Gay [Gay06] used gauge theory to show that contact manifolds with positive Giroux torsion are not strongly fillable, and another proof using the Ozsv´ath-Szab´o contact invariant has been carried out by Ghiggini, Honda and Van Hor n-Mor ris [GHVHM].”