Convex decomposition theory

By K. Honda, W. Kazez, G. Matić. 2001

78 citations recorded by the source corpus.

We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that every toroidal 3-manifold carries infinitely many nonisotopic, nonisomorphic tight contact structures.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/896491d03663640ce63d50c8921ff3cb0675c144

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. P. Ghiggini
2. K. Honda
3. Michael Hutchings
4. V. Colin
5. John B. Etnyre
6. E. Witten
7. Chris Wendl
8. G. Matić

In Computational Theory and Mathematics

1. Michael Hutchings
2. P. Ghiggini
3. V. Colin
4. K. Honda
5. Daniel Cristofaro-Gardiner
6. D. Mcduff
7. Jean Gutt
8. F. Schlenk

Citations in the corpus

• Sutures and contact homology I (2010, methodology): “10 is analogous to a theorem of Honda-Kazez-Matić [HKM] for sutured Floer homology.”