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- W2090133103 abstract "The idea of computing Matveev complexity by using Heegaard decompositions has been recently developed by two different approaches: the first one for closed 3-manifolds via crystallization theory, yielding the notion of Gem-Matveev complexity; the other one for compact orientable 3-manifolds via generalized Heegaard diagrams, yielding the notion of modified Heegaard complexity. In this paper we extend to the non-orientable case the definition of modified Heegaard complexity and prove that for closed 3-manifolds Gem-Matveev complexity and modified Heegaard complexity coincide. Hence, they turn out to be useful different tools to compute the same upper bound for Matveev complexity." @default.
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- W2090133103 date "2012-08-01" @default.
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- W2090133103 title "Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams" @default.
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- W2090133103 doi "https://doi.org/10.1016/j.topol.2012.05.016" @default.
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