Distance of Heegaard splittings of knot complements
| dc.creator | Tomova, Maggy | |
| dc.date | 2007-03-15 | |
| dc.date | 2007-05-10 | |
| dc.date.accessioned | 2026-07-07T08:00:32Z | |
| dc.date.available | 2026-07-07T08:00:32Z | |
| dc.description | Let K be a knot in a closed orientable irreducible 3-manifold M and let P be a Heegaard splitting of the knot complement of genus at least two. Suppose Q is a bridge surface for K. Then either \begin{itemize} \item $d(P)\leq 2-χ(Q-K)$, or \item K can be isotoped to be disjoint from Q so that after the isotopy Q is a Heegaard surface for the knot exterior and is isotopic to a possibly stabilized copy of P. \end{itemize} | |
| dc.description | References added, exposition slightly improved, 17 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0703474 | |
| dc.identifier | http://arxiv.org/abs/math/0703474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128686 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M27, 57M50 | |
| dc.title | Distance of Heegaard splittings of knot complements | |
| dc.type | text |