Journal article
Distance of Heegaard splittings of knot complements
Pacific Journal of Mathematics, Vol.236(1), pp.119-138
2008
DOI: 10.2140/pjm.2008.236.119
Abstract
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 $d(P)\leq 2-\chi(Q-K)$, 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}
Details
- Title: Subtitle
- Distance of Heegaard splittings of knot complements
- Creators
- Maggy Tomova
- Resource Type
- Journal article
- Publication Details
- Pacific Journal of Mathematics, Vol.236(1), pp.119-138
- DOI
- 10.2140/pjm.2008.236.119
- ISSN
- 0030-8730
- eISSN
- 1945-5844
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics; Liberal Arts and Science Admin
- Record Identifier
- 9983985708602771
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