Complexity, Heegaard diagrams and generalized Dunwoody manifolds

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dc.creatorCattabriga, Alessia
dc.creatorMulazzani, Michele
dc.creatorVesnin, Andrei
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:32Z
dc.date.available2026-07-07T12:30:32Z
dc.descriptionWe deal with Matveev complexity of compact orientable 3-manifolds represented via Heegaard diagrams. This lead us to the definition of modified Heegaard complexity of Heegaard diagrams and of manifolds. We define a class of manifolds which are generalizations of Dunwoody manifolds, including cyclic branched coverings of two-bridge knots and links, torus knots, some pretzel knots, and some theta-graphs. Using modified Heegaard complexity, we obtain upper bounds for their Matveev complexity, which linearly depend on the order of the covering. Moreover, using homology arguments due to Matveev and Pervova we obtain lower bounds.
dc.description19 pages, 5 figures; accepted for publication on Journal of the Korean Mathematical Society
dc.identifierhttps://arxiv.org/abs/0901.2288
dc.identifierhttp://arxiv.org/abs/0901.2288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216160
dc.subjectGeometric Topology
dc.subject57M27, 57M12
dc.titleComplexity, Heegaard diagrams and generalized Dunwoody manifolds
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