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This is a sequel to four earlier papers by the author that construct an isomorphism between the embedded contact homology and Seiberg–Witten Floer cohomology of a compact –manifold with a given contact –form. These respective homology/cohomology theories carry additional structure; this sequel proves that the isomorphism that is constructed in the first four papers is compatible with this extra structure.
Taubes, Clifford Henry 1
@article{GT_2010_14_5_a4, author = {Taubes, Clifford Henry}, title = {Embedded contact homology and {Seiberg{\textendash}Witten} {Floer} cohomology {V}}, journal = {Geometry & topology}, pages = {2961--3000}, publisher = {mathdoc}, volume = {14}, number = {5}, year = {2010}, doi = {10.2140/gt.2010.14.2961}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2961/} }
TY - JOUR AU - Taubes, Clifford Henry TI - Embedded contact homology and Seiberg–Witten Floer cohomology V JO - Geometry & topology PY - 2010 SP - 2961 EP - 3000 VL - 14 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2961/ DO - 10.2140/gt.2010.14.2961 ID - GT_2010_14_5_a4 ER -
Taubes, Clifford Henry. Embedded contact homology and Seiberg–Witten Floer cohomology V. Geometry & topology, Tome 14 (2010) no. 5, pp. 2961-3000. doi : 10.2140/gt.2010.14.2961. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2961/
[1] An index inequality for embedded pseudoholomorphic curves in symplectizations, J. Eur. Math. Soc. $($JEMS$)$ 4 (2002) 313
,[2] The embedded contact homology index revisited, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 263
,[3] Rounding corners of polygons and the embedded contact homology of $T^3$, Geom. Topol. 10 (2006) 169
, ,[4] Gluing pseudoholomorphic curves along branched covered cylinders. I, J. Symplectic Geom. 5 (2007) 43
, ,[5] The Weinstein conjecture for stable Hamiltonian structures, Geom. Topol. 13 (2009) 901
, ,[6] Monopoles and contact structures, Invent. Math. 130 (1997) 209
, ,[7] Monopoles and three-manifolds, New Math. Monographs 10, Cambridge Univ. Press (2007)
, ,[8] Multiple integrals in the calculus of variations, Grund. der math. Wissenschaften 130, Springer (1966)
,[9] The Seiberg–Witten equations and the Weinstein conjecture. II. More closed integral curves of the Reeb vector field, Geom. Topol. 13 (2009) 1337
,[10] Embedded contact homology and Seiberg–Witten Floer cohomology I, Geom. Topol. 14 (2010) 2497
,[11] Embedded contact homology and Seiberg–Witten Floer cohomology II, Geom. Topol. 14 (2010) 2583
,[12] Embedded contact homology and Seiberg–Witten Floer cohomology III, Geom. Topol. 14 (2010) 2721
,[13] Embedded contact homology and Seiberg–Witten Floer cohomology IV, Geom. Topol. 14 (2010) 2819
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