Heegaard splittings of branched cyclic coverings of connected sums of lens spaces
Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1851-1857
https://doi.org/10.4134/BKMS.b160760
Published online September 30, 2017
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
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