Gluing tight contact structures
Honda, Ko
Duke Math. J., Tome 115 (2002) no. 1, p. 435-478 / Harvested from Project Euclid
We prove gluing theorems for tight contact structures. As special cases, we rederive gluing theorems due to V. Colin and S. Makar-Limanov and present an algorithm for determining whether a given contact structure on a handlebody is tight. As applications, we construct a tight contact structure on a genus $4$ handlebody which becomes overtwisted after Legendrian $-1$ surgery and study certain Legendrian surgeries on $T\sp 3$.
Publié le : 2002-12-01
Classification:  53D35,  57R17
@article{1085598176,
     author = {Honda, Ko},
     title = {Gluing tight contact structures},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 435-478},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598176}
}
Honda, Ko. Gluing tight contact structures. Duke Math. J., Tome 115 (2002) no. 1, pp.  435-478. http://gdmltest.u-ga.fr/item/1085598176/