A Perturbative SU(3) Casson Invariant
| dc.creator | Cappell, S. E. | |
| dc.creator | Lee, R. | |
| dc.creator | Miller, E. Y. | |
| dc.date | 2000-06-02 | |
| dc.date.accessioned | 2026-07-07T04:35:41Z | |
| dc.date.available | 2026-07-07T04:35:41Z | |
| dc.description | A perturbative SU(3) Casson invariant $Λ_{SU(3)}(X)$ for integral homology 3-spheres is defined. Besides being fully perturbative, it has nice properties: (1) $4 . Λ_{SU(3)}(X)$ is an integer. (2) It is preseved under orientation change. (3) A connected sum formula holds. Explicit calculations of the invariant for $1/k$ surgery on $(2,q)$ torus knots are made and compared with a different generalization of Casson's invariant to SU(3) by Boden and Herald. For those cases computed, the invariant defined here is a quadratic polynomial in k for k>0 and a quadratic polynomial for k<0. | |
| dc.description | 39 pages, 4 tables | |
| dc.identifier | https://arxiv.org/abs/math/0006018 | |
| dc.identifier | http://arxiv.org/abs/math/0006018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59338 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25;57M05;58G25 | |
| dc.title | A Perturbative SU(3) Casson Invariant | |
| dc.type | text |