The disjoint curve property and genus 2 manifolds

DOI10.1016/S0166-8641(98)00063-7zbMath0935.57022OpenAlexW2058849533WikidataQ126582987 ScholiaQ126582987MaRDI QIDQ1807564

Abigail A. Thompson

Publication date: 3 May 2000

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00063-7

zbMATH Keywords

hyperbolicHeegaard splittinggenus \(2\)curve complexityweakly reducible\(1\)-bridge braidatoroidal \(3\)-manifoldsmall Seifert fibered space

Mathematics Subject Classification ID

Related Items (15)

Connected sums of knots and weakly reducible Heegaard splittings ⋮ Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings ⋮ The disjoint curve property ⋮ Distance two links ⋮ Big Heegaard distance implies finite mapping class group ⋮ Obtaining genus 2 Heegaard splittings from Dehn surgery ⋮ High distance Heegaard splittings via Dehn twists ⋮ Heegaard splittings of distance exactly \(n\) ⋮ ON TUNNEL NUMBER ONE KNOTS THAT ARE NOT (1, n) ⋮ Heegaard splittings with (disk, essential surface) pairs that intersect in one point ⋮ Multiple genus 2 Heegaard splittings: a missed case ⋮ Mapping class groups of medium distance Heegaard splittings ⋮ Berge's distance 3 pairs of genus 2 Heegaard splittings ⋮ A distance for circular Heegaard splittings ⋮ ON CRITICAL HEEGAARD SPLITTINGS OF TUNNEL NUMBER TWO COMPOSITE KNOT EXTERIORS

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