£94.50

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Algebra

Price data last checked 23 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

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

£95 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 68 days · 68 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 68 days • 1 price levels

Days at Price

Price Analysis

Most common price: £95 (68 days, 100.0%)

Price range: £95 - £95

Price levels: 1 different prices over 68 days

Description

The aim of this book is to present some applications of functional analysis and the theory of differential operators to the investigation of topological invariants of manifolds. The main topological application discussed in the book concerns the problem of the description of homotopy - invariant rational Pontryagin numbers of non-simply connected manifolds and the Novikov conjecture of homotopy invariance of higher signatures. The definition of higher signatures and the formulation of the Novikov conjecture are given in Chapter 3. In this chapter, the authors also give an overview of different approaches to the proof of the Novikov conjecture. First, there is the Mishchenko symmetric signature and the generalized Hirzebruch formulae and the Mishchenko theorem of homotopy invariance of higher signatures for manifolds whose fundamental groups have a classifying space, being a complete Riemannian non-positive curvature manifold.Then the authors present Solovyov's proof of the Novikov conjecture for manifolds with fundamental group isomorphic to a discrete subgroup of a linear algebraic group over a local field, based on the notion of the Bruhat-Tits building. Finally, the authors discuss the approach due to Kasparov based on the operator $KK$-theory and another proof of the Mishchenko theorem. In Chapter 4, they outline the approach to the Novikov conjecture due to Connes and Moscovici involving cyclic homology.That allows one to prove the conjecture in the case when the fundamental group is a (Gromov) hyperbolic group. The text provides a concise exposition of some topics from functional analysis (for instance, $C^*$-Hilbert modules, $K$-theory or $C^*$-bundles, Hermitian $K$-theory, Fredholm representations, $KK$-theory, and functional integration) from the theory of differential operators (pseudodifferential calculus and Sobolev chains over $C^*$-algebras), and from differential topology (characteristic classes). The book explains basic ideas of the subject and can serve as a course text for an introduction to the study of original works and special monographs.

Product Specifications

Format: hardcover
ASIN: 0821813994
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 07 December 2000
Listed Since: 17 October 2006

Barcode

No barcode data available

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

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

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Comparison Finsler Geometry (Springer Monographs in Mathematics)

Springer Comparison Finsler Geometry - Mathematics Monograph

CRC Press Elliptic Theory on Singular Manifolds - Mathematics

Analysis on Real and Complex Manifolds

Fundamentals of Differential Geometry: 191 (Graduate Texts in Mathematics, 191)

J-holomorphic Curves and Symplectic Topology: Second Edition (American Mathematical Society) (Colloquium Publications)

The Convenient Setting of Global Analysis (Mathematical Surveys & Monographs)

Variational Problems in Geometry (Translations of Mathematical Monographs)

Differentiable Manifolds (Modern Birkhäuser Classics)

History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)

Smooth Homogeneous Structures in Operator Theory: 137 (Monographs and Surveys in Pure and Applied Mathematics)

Jordan Triple Systems in Complex and Functional Analysis

The Implicit Function Theorem: History, Theory, and Applications (Modern Birkhäuser Classics)

Analysis Of Harmonic Maps And Their Heat Flows, The

Lectures on Nonsmooth Differential Geometry: 2 (SISSA Springer Series, 2)

The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics): 64

Pseudo-Differential Operators, Generalized Functions and Asymptotics: 231 (Operator Theory: Advances and Applications, 231)

Advances in Ultrametric Analysis (Contemporary Mathematics): 12th International Conference P-adic Functional Analysis July 2-6, 2012 University of Manitoba, Winnipeg, Canada

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

The Kobayashi-Hitchin Correspondence

The Bergman Kernel and Related Topics: Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022: 447 (Springer Proceedings in Mathematics & Statistics, 447)

Differential Forms and Applications (Universitext)

Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)

Modern Methods in Complex Analysis: The Princeton Conference in Honor of Gunning and Kohn: 137 (Annals of Mathematics Studies, 137)