scholarly journals Classification of tight contact structures on small Seifert 3–manifolds with $e_0\geq 0$

2005 ◽  
Vol 134 (3) ◽  
pp. 909-916 ◽  
Author(s):  
Paolo Ghiggini ◽  
Paolo Lisca ◽  
András I. Stipsicz
Keyword(s):  
Contact Structures ◽  
Tight Contact

scholarly journals Tight contact structures on some small Seifert fibered 3-manifolds

2007 ◽  
Vol 129 (5) ◽  
pp. 1403-1447 ◽  
Author(s):  
Paolo. Ghiggini ◽  
Paolo. Lisca ◽  
András. Stipsicz
Keyword(s):  
Contact Structures ◽  
Tight Contact

LEGENDRIAN SURGERY IS NOT CATEGORY-PRESERVING FOR TIGHT CONTACT STRUCTURES

2004 ◽  
Vol 13 (04) ◽  
pp. 557-563
Author(s):  
JIN-HONG KIM
Keyword(s):  
Contact Structures ◽  
Tight Contact

The aim of this paper is to show that the Seifert fibered space Σ(-½, ⅓, ⅓) over S2does not admit any tight contact structures. As a consequence, we can conclude that Legendrian surgery is not category-preserving for tight contact structures on closed 3-manifolds.

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