Rounding corners of polygons and the embedded contact homology of T^3
| dc.creator | Hutchings, Michael | |
| dc.creator | Sullivan, Michael C | |
| dc.date | 2004-10-04 | |
| dc.date | 2009-02-26 | |
| dc.date.accessioned | 2026-07-07T12:46:50Z | |
| dc.date.available | 2026-07-07T12:46:50Z | |
| dc.description | The embedded contact homology (ECH) of a 3-manifold with a contact form is a variant of Eliashberg-Givental-Hofer's symplectic field theory, which counts certain embedded J-holomorphic curves in the symplectization. We show that the ECH of T^3 is computed by a combinatorial chain complex which is generated by labeled convex polygons in the plane with vertices at lattice points, and whose differential involves `rounding corners'. We compute the homology of this combinatorial chain complex. The answer agrees with the Ozsvath--Szabo Floer homology HF^+(T^3). | |
| dc.description | This is the version published by Geometry & Topology on 26 March 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0410061 | |
| dc.identifier | http://arxiv.org/abs/math/0410061 | |
| dc.identifier | Geom. Topol. 10 (2006) 169-266 | |
| dc.identifier | doi:10.2140/gt.2006.10.169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221515 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R58, 57M27 | |
| dc.title | Rounding corners of polygons and the embedded contact homology of T^3 | |
| dc.type | text |