A combinatorial description of the Heegaard Floer contact invariant
Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1201-1209
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

We observe that the Heegaard Floer contact invariant is combinatorial by applying the algorithm of Sarkar–Wang to the description of the contact invariant due to Honda–Kazez–Matić. We include an example of this combinatorial calculation.

DOI : 10.2140/agt.2007.7.1201
Keywords: contact structures, open book decomposition, Heegaard Floer homology

Plamenevskaya, Olga  1

1 Department of Mathematics, SUNY Stony Brook, Stony Brook NY 11794, USA
@article{10_2140_agt_2007_7_1201,
     author = {Plamenevskaya, Olga},
     title = {A combinatorial description of the {Heegaard} {Floer} contact invariant},
     journal = {Algebraic and Geometric Topology},
     pages = {1201--1209},
     year = {2007},
     volume = {7},
     number = {3},
     doi = {10.2140/agt.2007.7.1201},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1201/}
}
TY  - JOUR
AU  - Plamenevskaya, Olga
TI  - A combinatorial description of the Heegaard Floer contact invariant
JO  - Algebraic and Geometric Topology
PY  - 2007
SP  - 1201
EP  - 1209
VL  - 7
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1201/
DO  - 10.2140/agt.2007.7.1201
ID  - 10_2140_agt_2007_7_1201
ER  - 
%0 Journal Article
%A Plamenevskaya, Olga
%T A combinatorial description of the Heegaard Floer contact invariant
%J Algebraic and Geometric Topology
%D 2007
%P 1201-1209
%V 7
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1201/
%R 10.2140/agt.2007.7.1201
%F 10_2140_agt_2007_7_1201
Plamenevskaya, Olga. A combinatorial description of the Heegaard Floer contact invariant. Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1201-1209. doi: 10.2140/agt.2007.7.1201

[1] M Dehn, Papers on group theory and topology, Springer (1987)

[2] E Giroux, Géométrie de contact: de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002)", Higher Ed. Press (2002) 405

[3] K Honda, W Kazez, G Matić, On the contact class in Heegaard Floer homology,

[4] R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955

[5] P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact three-manifolds I, Geom. Topol. 8 (2004) 925

[6] P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact three-manifolds II, J. Differential Geom. 75 (2007) 109

[7] P Lisca, A I Stipsicz, Ozsváth–Szabó invariants and tight contact three-manifolds III,

[8] C Manolescu, P Ozsváth, S Sarkar, On combinatorial link Floer homology,

[9] P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39

[10] P Ozsváth, Z Szabó, Heegaard diagrams and Floer homology, from: "International Congress of Mathematicians Vol. II", Eur. Math. Soc., Zürich (2006) 1083

[11] S Sarkar, J Wang, An algorithm for computing some Heegaard Floer homologies,

Cité par Sources :