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

Tatyana Kozlovskaya
대한수학회 (The Korean Mathematical Society)|2017.09|대한수학회보 (Bulletin of the KMS)|제54권 제5호|pp. 1851-1857

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참고문헌

키워드

lens spaceHeegaard splittingbranched cyclic covering
주제분류수학

초록

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.

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.

참고문헌 (15)

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관련 논문AI추천

On hyperbolic 3-manifolds with symmetric Heegaard splittings김수환, 김양곡대한수학회 · 대한수학회지2009 · 제46권 제6호Representations of $n$-fold Cyclic Branched Coverings of $(1,1)$-knots up to 10 Crossings as Dunwoody Manifolds김근영, 이상율영남수학회 · East Asian Mathematical Journal2022 · 제38권 제1호CYCLIC BRANCHED COVERS OF ALTERNATING KNOTS AND L-SPACESMasakazu Teragaito대한수학회 · 대한수학회보2015 · 제52권 제4호COMPLEXITY, HEEGAARD DIAGRAMS AND GENERALIZED DUNWOODY MANIFOLDSAlessia Cattabriga, Andrei Vesnin, Michele Mulazzani대한수학회 · 대한수학회지2010 · 제47권 제3호Bicompressible surfaces and incompressible surfacesToshio Saito대한수학회 · 대한수학회보2019 · 제56권 제2호COMMON STABILIZATIONS OF HEEGAARD SPLITTINGS OF KNOT EXTERIORS이정훈대한수학회 · 대한수학회지2010 · 제47권 제1호

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