Bounds on genus and geometric intersections from cylindrical end moduli spaces
| dc.creator | Strle, Saso | |
| dc.date | 2002-02-18 | |
| dc.date | 2003-01-22 | |
| dc.date.accessioned | 2026-07-07T04:46:32Z | |
| dc.date.available | 2026-07-07T04:46:32Z | |
| dc.description | In this paper we present a way of computing a lower bound for genus of any smooth representative of a homology class of positive self-intersection in a smooth four-manifold $X$ with second positive Betti number $b_2^+(X)=1$. We study the solutions of the Seiberg-Witten equations on the cylindrical end manifold which is the complement of the surface representing the class. The result can be formulated as a form of generalized adjunction inequality. The bounds obtained depend only on the rational homology type of the manifold, and include the Thom conjecture as a special case. We generalize this approach to derive lower bounds on the number of intersection points of $n$ algebraically disjoint surfaces of positive self-intersection in manifolds with $b_2^+(X)=n$. | |
| dc.description | References added | |
| dc.identifier | https://arxiv.org/abs/math/0202178 | |
| dc.identifier | http://arxiv.org/abs/math/0202178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63369 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Bounds on genus and geometric intersections from cylindrical end moduli spaces | |
| dc.type | text |