Holomorphic triangle invariants and the topology of symplectic four-manifolds
| dc.creator | Ozsvath, P. S. | |
| dc.creator | Szabo, Z. | |
| dc.date | 2002-01-08 | |
| dc.date.accessioned | 2026-07-07T04:45:43Z | |
| dc.date.available | 2026-07-07T04:45:43Z | |
| dc.description | This article analyzes the interplay between symplectic geometry in dimension four and the invariants for smooth four-manifolds constructed using holomorphic triangles introduced in math.SG/0110169. Specifically, we establish a non-vanishing result for the invariants of symplectic four-manifolds, which leads to new proofs of the indecomposability theorem for symplectic four-manifolds and the symplectic Thom conjecture. As a new application, we generalize the indecomposability theorem to splittings of four-manifolds along a certain class of three-manifolds obtained by plumbings of spheres. This leads to restrictions on the topology of Stein fillings of such three-manifolds. | |
| dc.description | 35 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0201049 | |
| dc.identifier | http://arxiv.org/abs/math/0201049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63057 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53; 57 | |
| dc.title | Holomorphic triangle invariants and the topology of symplectic four-manifolds | |
| dc.type | text |