Journal article
Multiple bridge surfaces restrict knot distance
Algebraic & geometric topology, Vol.7(1), pp.957-1006
2007
DOI: 10.2140/agt.2007.7.957
Abstract
Suppose M is a closed irreducible orientable 3–manifold, K is a knot in M , P and Q are bridge surfaces for K and K is not removable with respect to Q. We show that either Q is equivalent to P or d(K, P) ≤ 2 − x(Q − K). If K is not a 2–bridge knot, then the result holds even if K is removable with respect to Q. As a corollary we show that if a knot in S³ has high distance with respect to some bridge sphere and low bridge number, then the knot has a unique minimal bridge position.
Details
- Title: Subtitle
- Multiple bridge surfaces restrict knot distance
- Creators
- Maggy Tomova
- Resource Type
- Journal article
- Publication Details
- Algebraic & geometric topology, Vol.7(1), pp.957-1006
- DOI
- 10.2140/agt.2007.7.957
- ISSN
- 1472-2747
- eISSN
- 1472-2739
- Language
- English
- Date published
- 2007
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985801502771
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