Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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HEEGAARD SPLITTINGS OF BRANCHED CYCLIC COVERINGS OF CONNECTED SUMS OF LENS SPACES

  • Kozlovskaya, Tatyana (Magadan Institute of Economy of St. Peterburg Academy of Management and Economy)
  • Received : 2016.09.19
  • Accepted : 2016.12.26
  • Published : 2017.09.30
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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.

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References

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