The theta divisor and the Casson-Walker invariant
| dc.creator | Ozsvath, Peter | |
| dc.creator | Szabo, Zoltan | |
| dc.date | 2000-06-26 | |
| dc.date.accessioned | 2026-07-25T22:48:59Z | |
| dc.description | We use Heegaard decompositions and the theta divisor on a Riemannian surface to define a three-manifold invariant for rational homology three-spheres. This invariant is defined on the set of $Spin^c$ structures $$ {\hat θ}\colon Spin^c(Y)\longrightarrow Q. $$ In the first part of the paper, we give the definition of the invariant (which builds on the theory developed in the article, "The theta divisor and three-manifold invariants"). In the second part, we establish a relationship between this invariant and the Casson-Walker invariant. | |
| dc.description | 50 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0006194 | |
| dc.identifier | http://arxiv.org/abs/math/0006194 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/92783 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 57Q10; 57R57; 14H51 | |
| dc.title | The theta divisor and the Casson-Walker invariant | |
| dc.type | text |