Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2017; 54(5): 1851-1857

Online first article July 7, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160760

Copyright © The Korean Mathematical Society.

Heegaard splittings of branched cyclic coverings of connected sums of lens spaces

Tatyana Kozlovskaya

Management and Economy

Abstract

We study relations between two descriptions of closed orientable 3-manifolds: as branched coverings and as Heegaard splittings. An explicit relation is presented for a class of 3-manifolds which are branched cyclic coverings of connected sums of lens spaces, where the branching set is an axis of a hyperelliptic involution of a Heegaard surface.

Keywords: Heegaard splitting, branched cyclic covering, lens space

MSC numbers: Primary 57M12, 57M25