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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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참고문헌 (15)
참고문헌 신청
J. S. Birman / 1975 / Heegaard splittings of branched coverings of S3 / Trans. Amer. Math. Soc 213:315~352
Alessia Cattabriga / 2010 / COMPLEXITY, HEEGAARD DIAGRAMS AND GENERALIZED DUNWOODY MANIFOLDS / 대한수학회지 47(3):585~599
P. Cristifori / 2012 / Cyclic generalizations of two hyperbolic icosahedral manifolds / Topology Appl 159(8):2071~2081
P. Cristofori / 2007 / Strongly-cyclic branched coverings of knots via (g,1)-decompositions / Acta Math. Hungar 116(1-2):163~176
M. J. Dunwoody / 1995 / Cyclic presentations and 3-manifolds / Proc. Inter. Conf., Groups-Korea 94 :47~55
Alessia Cattabriga / 2010 / COMPLEXITY, HEEGAARD DIAGRAMS AND GENERALIZED DUNWOODY MANIFOLDS / 대한수학회지 47(3):585~599
P. Cristifori / 2012 / Cyclic generalizations of two hyperbolic icosahedral manifolds / Topology Appl 159(8):2071~2081
P. Cristofori / 2007 / Strongly-cyclic branched coverings of knots via (g,1)-decompositions / Acta Math. Hungar 116(1-2):163~176
M. J. Dunwoody / 1995 / Cyclic presentations and 3-manifolds / Proc. Inter. Conf., Groups-Korea 94 :47~55
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