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.
Tatyana Kozlovskaya
Management and Economy
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
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