The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400) - Image 1

£173.73

It has never been this cheap. We have no record of a lower price.

£174 today · cheaper than every other day in the last 3 months

Springer The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400)

Name: The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400)
Brand: Springer
Price: 173.73 GBP
Availability: InStock

Mathematical Analysis

Price Distribution

Price distribution over 57 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £176 (56 days, 98.2%)

Price range: £174 - £176

Price levels: 2 different prices over 57 days

Description

In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to the identity is a simple group. This led Smale to conjecture that the group Diff'" (M)o of cr diffeomorphisms, r ~ 1, of a smooth manifold M, with compact supports, and isotopic to the identity through compactly supported isotopies, is a simple group as well. In this monograph, we give a fairly detailed proof that DifF(M)o is a simple group. This theorem was proved by Herman in the case M is the torus rn in 1971, as a consequence of the Nash-Moser-Sergeraert implicit function theorem. Thurston showed in 1974 how Herman's result on rn implies the general theorem for any smooth manifold M. The key idea was to vision an isotopy in Diff'"(M) as a foliation on M x [0, 1]. In fact he discovered a deep connection between the local homology of the group of diffeomorphisms and the homology of the Haefliger classifying space for foliations. Thurston's paper [180] contains just a brief sketch of the proof. The details have been worked out by Mather [120], [124], [125], and the author [12]. This circle of ideas that we call the "Thurston tricks" is discussed in chapter 2. It explains how in certain groups of diffeomorphisms, perfectness leads to simplicity. In connection with these ideas, we discuss Epstein's theory [52], which we apply to contact diffeomorphisms in chapter 6.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1441947744
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 08 December 2010
Listed Since: 06 July 2010

Barcode

No barcode data available

It has never been this cheap. We have no record of a lower price.

Springer The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400)

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups (Memoirs of the American Mathematical Society)

Foliation Theory in Algebraic Geometry (Simons Symposia)

Extrinsic Geometry of Foliations: 339 (Progress in Mathematics, 339)

Thurston's Work on Surfaces: 48 (Mathematical Notes, 48)

Foliations and Geometric Structures: 580 (Mathematics and Its Applications, 580)

Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings of the Warwick Workshop, September 11-14, 2001: Series Number 299 (London Mathematical Society Lecture Note Series, Series Number 299)

Riemannian Foliations: 73 (Progress in Mathematics, 73)

Kleinian Groups: 287 (Grundlehren der mathematischen Wissenschaften, 287)

Lectures on Hyperbolic Geometry (Universitext)

Elements of Differential Topology

Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi (Memoirs of the American Mathematical Society)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Knots, Groups and 3-Manifolds: Papers Dedicated to the Memory of R.H. Fox: 84 (Annals of Mathematics Studies, 84)

Problems on Mapping Class Groups and Related Topics (Proceedings of Symposia in Pure Mathematics)

Prospects in Topology: Proceedings of a Conference in Honor of William Browder: 138 (Annals of Mathematics Studies, 138)

Geometry of Hypersurfaces (Springer Monographs in Mathematics)

Princeton University Press - Equivariant Cohomology Lectures

Geometry and Topology of Submanifolds and Currents (Contemporary Mathematics): 2013 Midwest Geometry Conference (MGC XIX) October 19, 2013 Oklahoma ... 2012 University of Oklahoma, Norman, OK

Principles of Locally Conformally Kähler Geometry: 354 (Progress in Mathematics, 354)

It has never been this cheap. We have no record of a lower price.

Springer The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups (Memoirs of the American Mathematical Society)

Foliation Theory in Algebraic Geometry (Simons Symposia)

Extrinsic Geometry of Foliations: 339 (Progress in Mathematics, 339)

Thurston's Work on Surfaces: 48 (Mathematical Notes, 48)

Foliations and Geometric Structures: 580 (Mathematics and Its Applications, 580)

Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings of the Warwick Workshop, September 11-14, 2001: Series Number 299 (London Mathematical Society Lecture Note Series, Series Number 299)

Riemannian Foliations: 73 (Progress in Mathematics, 73)

Kleinian Groups: 287 (Grundlehren der mathematischen Wissenschaften, 287)

Lectures on Hyperbolic Geometry (Universitext)

Elements of Differential Topology

Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi (Memoirs of the American Mathematical Society)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Knots, Groups and 3-Manifolds: Papers Dedicated to the Memory of R.H. Fox: 84 (Annals of Mathematics Studies, 84)

Problems on Mapping Class Groups and Related Topics (Proceedings of Symposia in Pure Mathematics)

Prospects in Topology: Proceedings of a Conference in Honor of William Browder: 138 (Annals of Mathematics Studies, 138)

Geometry of Hypersurfaces (Springer Monographs in Mathematics)

Princeton University Press - Equivariant Cohomology Lectures

Geometry and Topology of Submanifolds and Currents (Contemporary Mathematics): 2013 Midwest Geometry Conference (MGC XIX) October 19, 2013 Oklahoma ... 2012 University of Oklahoma, Norman, OK

Principles of Locally Conformally Kähler Geometry: 354 (Progress in Mathematics, 354)