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Some Footnotes on Thurston’s Notes The Geometry and Topology of 3-Manifolds

In: In the Tradition of Thurston III

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  • Athanase Papadopoulos

    (Université de Strasbourg and CNRS, Institut de Recherche Mathématique Avancée and Centre de Recherche et d’Expérimentation sur l’Acte Artistique (ITI CREAA))

Abstract

These are a few historical remarks, addenda and references with comments on some topics discussed by Thurston in his notes The geometry and topology of three-manifolds. The topics are mainly hyperbolic geometry, geometric structures, volumes of hyperbolic polyhedra and the so-called Koebe–Andreev–Thurston theorem. I discuss in particular some works of Lobachevsky, Andreev and Milnor, with an excursus in Dante’s cosmology, based on the insight of Pavel Florensky.

Suggested Citation

  • Athanase Papadopoulos, 2024. "Some Footnotes on Thurston’s Notes The Geometry and Topology of 3-Manifolds," Springer Books, in: Ken’ichi Ohshika & Athanase Papadopoulos (ed.), In the Tradition of Thurston III, chapter 0, pages 423-447, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-43502-7_12
    DOI: 10.1007/978-3-031-43502-7_12
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