The Universal Perturbative Quantum 3-manifold Invariant, Rozansky-Witten Invariants, and the Generalized Casson Invariant
| dc.creator | Habegger, Nathan | |
| dc.creator | Thompson, George | |
| dc.date | 1999-11-08 | |
| dc.date.accessioned | 2026-07-07T05:31:29Z | |
| dc.date.available | 2026-07-07T05:31:29Z | |
| dc.description | Let Z^{LMO} be the 3-manifold invariant of [LMO]. It is shown that Z^{LMO}(M)=1, if the first Betti number of M, b_{1}(M), is greater than 3. If b_{1}(M)=3, then Z^{LMO}(M) is completely determined by the cohomology ring of M. A relation of Z^{LMO} with the Rozansky-Witten invariants Z_{X}^{RW}[M] is established at a physical level of rigour. We show that Z_{X}^{RW}[M] satisfies appropriate connected sum properties suggesting that the generalized Casson invariant ought to be computable from the LMO invariant. | |
| dc.description | LaTex 62 pages with 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/9911049 | |
| dc.identifier | http://arxiv.org/abs/math/9911049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79364 | |
| dc.subject | Geometric Topology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Universal Perturbative Quantum 3-manifold Invariant, Rozansky-Witten Invariants, and the Generalized Casson Invariant | |
| dc.type | text |