Combinatorial and Geometric Methods in Topology |
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Authors: | Carlo Petronio Damian Heard Ekaterina Pervova |
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Institution: | (1) Dipartimento di Matematica Applicata, Via Filippo Buonarroti, 1C, 56127 Pisa, Italy;(2) RedTribe, Carlton, Victoria, 3053, Australia |
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Abstract: | Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing
together in pairs the faces of an octahedron, we will describe the central r?le played by hyperbolic geometry within three-dimensional
topology. We will also point out the striking difference with the two dimensional case, and we will review some of the results
of the combinatorial and computational approach to three-manifolds developed by different mathematicians over the last several
years.
Lecture held by Carlo Petronio in the Seminario Matematico e Fisico di Milano on April 23, 2007 |
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Keywords: | " target="_blank"> Enumeration of 3-manifolds hyperbolic geometry octahedron |
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