|
|||||
|
|
|
|
|
|
|
|
|
On
the equivalence of Legendrian and transverse invariants in
knot Floer homology
John A Baldwin, David Shea Vela-Vick and Vera Vértesi |
|
Geometry & Topology 17 (2013) 925–974
|
Abstract |
|
Using the grid diagram formulation of knot Floer homology, Ozsváth, Szabó and Thurston defined an invariant of transverse knots in the tight contact 3–sphere. Shortly afterwards, Lisca, Ozsváth, Stipsicz and Szabó defined an invariant of transverse knots in arbitrary contact 3–manifolds using open book decompositions. It has been conjectured that these invariants agree where they are both defined. We prove this fact by defining yet another invariant of transverse knots, showing that this third invariant agrees with the two mentioned above. |
Keywords
Legendrian knots, transverse knots, Heegaard Floer homology
|
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57R58
|
References |
Publication
Received: 27 December 2011
Revised: 18 December 2012
Accepted: 2 January 2013
Published: 30 April 2013
Proposed: Peter Ozsváth
Seconded: Yasha Eliashberg, Peter Teichner
|
Authors |
| John A Baldwin | |
| Department of Mathematics Boston College Carney Hall, Room 301 Boston College Chestnut Hill, MA 02467 USA |
|
| https://www2.bc.edu/john-baldwin | |
| David Shea Vela-Vick | |
| Department of Mathematics Louisiana State University Lockett Hall Baton Rouge, LA 70803 USA |
|
| https://www.math.lsu.edu/~shea/ | |
| Vera Vértesi | |
| Laboratorie de Mathématiques Jean
Leray UMR6629 du CNRS Université de Nantes 2 rue de la Houssiniére F-44322 Nantes France |
|
| http://www.univ-nantes.fr/vertesi-v | |
|
