On the subadditivity of Montesinos complexity of closed orientable 3-manifolds

Álvaro Lozano; Rubén Vigara

doi:10.1007/s13398-014-0179-1

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arXiv · 1404.1657

On the subadditivity of Montesinos complexity of closed orientable 3-manifolds

Álvaro Lozano·Rubén Vigara

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Abstract

A filling Dehn sphere $Σ$ in a closed 3-manifold $M$ is a sphere transversely immersed in $M$ that defines a cell decomposition of $M$. Every closed 3-manifold has a filling Dehn sphere. The Montesinos complexity of a $3$-manifold $M$ is defined as the minimal number of triple points among all the filling Dehn spheres of $M$. A sharp upper bound for the Montesinos complexity of the connected sum of two 3-manifolds is given.

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Álvaro Lozano, Rubén Vigara. 2014-04-07. On the subadditivity of Montesinos complexity of closed orientable 3-manifolds. https://doi.org/10.1007/s13398-014-0179-1

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