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 objectsIn 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.
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Robert Young
By Buzano Reto
By Ketover Daniel
By Vladimir Markovic
By Melanie Rupflin
By Greg Mcshane
By Jean-Marc Schlenker
By Viaclovsky Jeff
By Wilking Burkhard
