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Groups of Circle Diffeomorphisms (Hardback)
  • Groups of Circle Diffeomorphisms (Hardback)
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Groups of Circle Diffeomorphisms (Hardback)

(author)
£39.00
Hardback 232 Pages / Published: 05/07/2011
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Group actions are an efficient way of describing symmetries in objects by defining the essential elements of a given object as a set. The symmetries of the object are then defined as the symmetry group of this set. "Groups of Circle Diffeomorphisms" explores group actions on the simplest closed manifold, the circle. This text will be of interest to those doing research in several branches of mathematics, including dynamical systems, low-dimensional geometry and topology, and mathematical physics.

Publisher: The University of Chicago Press
ISBN: 9780226569512
Number of pages: 232
Weight: 386 g
Dimensions: 229 x 152 x 20 mm


MEDIA REVIEWS
""Groups of Circle Diffeomorphisms" provides a great overview of the research on differentiable group actions on the circle. Navas's book will appeal to those doing research on differential topology, transformation groups, dynamical systems, foliation theory, and representation theory, and will be a solid base for those who want to further attack problems of group actions on higher dimensional manifolds or of geometric group theory."

--Takashi Tsuboi, University of Tokyo
"Groups of Circle Diffeomorphisms" provides a great overview of the research on differentiable group actions on the circle. Navas s book will appeal to those doing research on differential topology, transformation groups, dynamical systems, foliation theory, and representation theory, and will be a solid base for those who want to further attack problems of group actions on higher dimensional manifolds or of geometric group theory.
--Takashi Tsuboi, University of Tokyo"
This is a wonderful book about mildly smooth actions of groups on the most important manifolds in mathematics: the circle and the line. Andres Navas draws upon the classical contributions of Poincare, Denjoy, Holder, Plante, Thompson, Sacksteder, and Duminy, as well as the relatively recent achievements of Margulis and Witte Morris, to offer the first book-length exploration of this topic. The analytic techniques, the dynamical point of view, and the algebraic nature of objects considered here produce a blend of beautiful mathematics that will be used by researchers in several areas of science.
--Rostislav Grigorchuk, Texas A&M University, and Etienne Ghys, Ecole Normale Superieure de Lyon"
"This is a wonderful book about 'mildly' smooth actions of groups on the most important manifolds in mathematics: the circle and the line. Andres Navas draws upon the classical contributions of Poincare, Denjoy, Holder, Plante, Thompson, Sacksteder, and Duminy, as well as the relatively recent achievements of Margulis and Witte Morris, to offer the first book-length exploration of this topic. The analytic techniques, the dynamical point of view, and the algebraic nature of objects considered here produce a blend of beautiful mathematics that will be used by researchers in several areas of science."

--Rostislav Grigorchuk, Texas A&M University, and Etienne Ghys, Ecole Normale Superieure de Lyon


"Groups of Circle Diffeomorphisms provides a great overview of the research on differentiable group actions on the circle. Navas's book will appeal to those doing research on differential topology, transformation groups, dynamical systems, foliation theory, and representation theory, and will be a solid base for those who want to further attack problems of group actions on higher dimensional manifolds or of geometric group theory."

--Takashi Tsuboi, University of Tokyo


"This is a wonderful book about 'mildly' smooth actions of groups on the most important manifolds in mathematics: the circle and the line. Andres Navas draws upon the classical contributions of Poincare, Denjoy, Holder, Plante, Thompson, Sacksteder, and Duminy, as well as the relatively recent achievements of Margulis and Witte Morris, to offer the first book-length exploration of this topic. The analytic techniques, the dynamical point of view, and the algebraic nature of objects considered here produce a blend of beautiful mathematics that will be used by researchers in several areas of science."

--Rostislav Grigorchuk, Texas A&M University, and Etienne Ghys, Ecole Normale Superieure de Lyon

"Groups of Circle Diffeomorphisms provides a great overview of the research on differentiable group actions on the circle. Navas's book will appeal to those doing research on differential topology, transformation groups, dynamical systems, foliation theory, and representation theory, and will be a solid base for those who want to further attack problems of group actions on higher dimensional manifolds or of geometric group theory."

--Takashi Tsuboi, University of Tokyo

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