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Vidéo Année : 2016

S. Maillot - An introduction to open 3-manifolds (Part 1)

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Réalisateur

Résumé

W. Thurston's geometrization program has lead to manyoutstanding results in 3-manifold theory. Thanks to worksof G. Perelman, J. Kahn and V. Markovic, D. Wise, and I. Agol among others, compact 3-manifolds can now beconsidered to be reasonably well-understood.By contrast, noncompact 3-manifolds remainmuch more mysterious. There is a series of examples,beginning with work of L. Antoine and J. H. C. Whitehead,which show that open 3-manifolds can exhibit wildbehavior at infinity. No comprehensive structure theoryanalogous to geometrization à la Thurston is currently availablefor these objects In these lectures, we will focus on two aspects of the subject: (1) constructing interesting examples, and (2) finding sufficientconditions that rule out exotic examples, in particular inconnection with Riemannian geometry.

Dates et versions

medihal-01797965 , version 1 (23-05-2018)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01797965 , version 1

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Sylvain Maillot, Fanny Bastien, Pauline Martinet. S. Maillot - An introduction to open 3-manifolds (Part 1): Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01797965⟩
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