Bounded 3-Manifolds with Distance $n$ Heegaard Splittings

Bounded 3-Manifolds with Distance $n$ Heegaard Splittings

Year:    2014

Author:    Yanqing Zou, Ximin Liu

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 193–200

Abstract

We prove that for any integer $n ≥ 2$ and $g ≥ 2$, there are bounded 3-manifolds admitting distance $n$, genus $g$ Heegaard splittings with any given boundaries.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.03.01

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 193–200

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    attaching compression body Heegaard distance subsurface projection.

Author Details

Yanqing Zou

Ximin Liu