A Lower Bound for the Genus of Self-Amalgamation of Heegaard Splittings

Li, Fengling; Lei, Fengchun

doi:10.4134/bkms.2011.48.1.067

Bulletin of the Korean Mathematical Society

2011

DOI: 10.4134/bkms.2011.48.1.067

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A Lower Bound for the Genus of Self-Amalgamation of Heegaard Splittings

Fengling Li¹,

Fengchun Lei²

Abstract: Abstract. Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in

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The amalgamation of high distance Heegaard splittings along tori

Yang

2019

J. Knot Theory Ramifications

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Let [Formula: see text] be a compact, connected, orientable closed 3-manifold. Let [Formula: see text] be a disjoint union of incompressible separating tori in [Formula: see text] which cut [Formula: see text] into the submanifolds [Formula: see text]. In the present paper, we show that the Heegaard genus [Formula: see text] of [Formula: see text] is given by [Formula: see text] provided that each [Formula: see text] has a Heegaard splitting [Formula: see text] with Hempel distance [Formula: see text].

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The amalgamation of high distance Heegaard splittings along tori

Yang

2019

J. Knot Theory Ramifications

View full text Add to dashboard Cite

show abstract

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A Lower Bound for the Genus of Self-Amalgamation of Heegaard Splittings

Abstract: Abstract. Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in

Cited by 1 publication

References 18 publications

The amalgamation of high distance Heegaard splittings along tori

The amalgamation of high distance Heegaard splittings along tori

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