Universal Vassiliev invariants of links in coverings of 3-manifolds
| dc.creator | Lieberum, Jens | |
| dc.date | 2001-05-02 | |
| dc.date.accessioned | 2026-07-07T04:41:34Z | |
| dc.date.available | 2026-07-07T04:41:34Z | |
| dc.description | We study Vassiliev invariants of links in a 3-manifold $M$ by using chord diagrams labeled by elements of the fundamental group of $M$. We construct universal Vassiliev invariants of links in $M$, where $M=P^2\times [0,1]$ is a cylinder over the real projective plane $P^2$, $M=Σ\times [0,1]$ is a cylinder over a surface $Σ$ with boundary, and $M=S^1\times S^2$. A finite covering $p:N\longrightarrow M$ induces a map $π_1(p)^*$ between labeled chord diagrams that corresponds to taking the preimage $p^{-1}(L)\subset N$ of a link $L\subset M$. The maps $p^{-1}$ and $π_1(p)^*$ intertwine the constructed universal Vassiliev invariants. | |
| dc.description | 46 pages, many figures | |
| dc.identifier | https://arxiv.org/abs/math/0105019 | |
| dc.identifier | http://arxiv.org/abs/math/0105019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61413 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M25 | |
| dc.title | Universal Vassiliev invariants of links in coverings of 3-manifolds | |
| dc.type | text |