Essays on Topology -

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Résumé :
This book consists of a collection of articles dedicated to Valentin Po?naru, on topology and geometry in a broad sense. Po?naru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology. ...

Biographie:
Teichm?ller Theory, I: The action of P(SL(2,Z)) on T ess+, by Robert C. Penner.- 5 Universal Spin Teichm?ller Theory, II: Finite presentation of P(SL(2,Z)), by Robert C. Penner.- 6 Geometry of Fermat's sum of squares, by Greg McShane and Vlad Sergiescu.- 7 Ends and compactifications in geometric topology, by Ken'ichi Ohshika.- 8 Axiomatic phylogenetics, by Vladimir Turaev.- 9 About the diffeomorphisms of the 3-sphere and a famous theorem of Cerf (?4 = 0), by ...

Sommaire:
This book consists of a collection of articles dedicated to Valentin Po?naru, on topology and geometry in a broad sense. Po?naru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology. ...