We calculate the relative versions of embedded contact homology, contact homology and cylindrical contact homology of the sutured solid torus (S1 × D2,Γ), where Γ consists of 2n parallel longitudinal sutures.
Golovko, Roman  1
@article{10_2140_agt_2011_11_1001,
author = {Golovko, Roman},
title = {The embedded contact homology of sutured solid tori},
journal = {Algebraic and Geometric Topology},
pages = {1001--1031},
year = {2011},
volume = {11},
number = {2},
doi = {10.2140/agt.2011.11.1001},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.1001/}
}
TY - JOUR AU - Golovko, Roman TI - The embedded contact homology of sutured solid tori JO - Algebraic and Geometric Topology PY - 2011 SP - 1001 EP - 1031 VL - 11 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.1001/ DO - 10.2140/agt.2011.11.1001 ID - 10_2140_agt_2011_11_1001 ER -
Golovko, Roman. The embedded contact homology of sutured solid tori. Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 1001-1031. doi: 10.2140/agt.2011.11.1001
[1] , A survey of contact homology, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes, Amer. Math. Soc. (2009) 45
[2] , , , , , Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799
[3] , , , , Sutures and contact homology I
[4] , , Constructions contrôlées de champs de Reeb et applications, Geom. Topol. 9 (2005) 2193
[5] , Symplectic Floer homology of area-preserving surface diffeomorphisms, Geom. Topol. 13 (2009) 2619
[6] , , , Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560
[7] , Obstruction bundles over moduli spaces with boundary and the action filtration in symplectic field theory
[8] , Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445
[9] , An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. (JEMS) 4 (2002) 313
[10] , , Rounding corners of polygons and the embedded contact homology of T3, Geom. Topol. 10 (2006) 169
[11] , , Gluing pseudoholomorphic curves along branched covered cylinders. I, J. Symplectic Geom. 5 (2007) 43
[12] , , Gluing pseudoholomorphic curves along branched covered cylinders. II, J. Symplectic Geom. 7 (2009) 29
[13] , Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429
[14] , Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299
[15] , The sutured Floer homology polytope, Geom. Topol. 14 (2010) 1303
[16] , , Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007)
[17] , , Knots, sutures, and excision, J. Differential Geom. 84 (2010) 301
[18] , , Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. (2) 159 (2004) 1027
[19] , The Seiberg–Witten equations and the Weinstein conjecture, Geom. Topol. 11 (2007) 2117
[20] , Embedded contact homology and Seiberg–Witten Floer homology I–IV, Geom. Topol. 14 (2010) 2497
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