2007/03/15 by Maggy Tomova, Tomova, Maggy
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #57M25 #57M27 #57M50 #Biochemical and Structural Characterization #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M25 #msc:57M27 #msc:57M50 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0703474
References added, exposition slightly improved, 17 pages, 3 figures
openalex publication_date 2007/03/15 · arxiv created 2007/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \beginitemize \item d(P)≤ 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. \enditemize