SO(3) invariants of Seifert manifolds and their algebraic integrality
| dc.creator | Li, Bang-He | |
| dc.date | 2000-05-31 | |
| dc.date.accessioned | 2026-07-07T04:35:37Z | |
| dc.date.available | 2026-07-07T04:35:37Z | |
| dc.description | For Seifert manifold $M=X({p_1}/_{\f{q_1}},{p_2}/_{\f{q_2}}, ...,{p_n}/_ {\f{q_n}}), τ^{'}_r(M)$ is calculated for all $r$ odd $\geq 3$. If $r$ is coprime to at least $n-2$ of $p_k$ (e.g. when $M$ is the Poincare homology sphere), it is proved that $(\sqrt {\dfrac{4}{r}}\sin \dfracπ{r})^ντ^{'}_r(M)$ is an algebraic integer in the r-th cyclotomic field, where $ν$ is the first Betti number of $M$. For the torus bundle obtained from trefoil knot with framing 0, i.e. $X_{tref}(0)=X(-2/_{\f{1}},3/_{\f{1}},6/_{\f{1}}), τ^{'}_r$ is obtained in a simple form if $3\mid\llap /r$, which shows in some sense that it is impossible to generalize Ohtsuki's invariant to 3-manifolds being not rational homology spheres. | |
| dc.description | Latex | |
| dc.identifier | https://arxiv.org/abs/math/0005298 | |
| dc.identifier | http://arxiv.org/abs/math/0005298 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59316 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | Geometric Topology | |
| dc.title | SO(3) invariants of Seifert manifolds and their algebraic integrality | |
| dc.type | text |