On the classification of tight contact structures

By P. Ghiggini, S. Schoenenberger. 2002

136 citations recorded by the source corpus.

Recently, there have been several breakthroughs in the classification of tight contact structures. We give an outline on how to exploit methods developed by Ko Honda and John Etnyre to obtain classification results for specific examples of small Seifert manifolds.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b4365fdaefb6b5d3c551863758f59cf79bd9195b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. A. Stipsicz
2. P. Lisca

In Geometry and Topology

1. P. Lisca
2. A. Stipsicz
3. J. Greene
4. Peter S. Ozsv'ath
5. Chris Wendl
6. Zolt'an Szab'o
7. Ana G. Lecuona
8. Lenhard L. Ng

In Mathematical Physics

1. P. Lisca
2. A. Stipsicz
3. J. Greene
4. Peter S. Ozsv'ath
5. Ana G. Lecuona
6. Lenhard L. Ng
7. Ciprian Manolescu
8. Zolt'an Szab'o

Citations in the corpus

• Ozsváth-Szabó invariants and tight contact three-manifolds, II (2004, methodology): “After t steps the procedure terminates providing a Legendrian link in (Y, ξ) along which the prescribed contact (±1)–surgeries give the contact structure on Yr(L) obtained by applying contact r–surgery with the prescribed extension (S1 × D2, η) on the glued–up solid torus.”