• Sign In / Register
  • Help
  • Basket0
Global Analysis on Foliated Spaces - Mathematical Sciences Research Institute Publications 9 (Paperback)
  • Global Analysis on Foliated Spaces - Mathematical Sciences Research Institute Publications 9 (Paperback)
zoom

Global Analysis on Foliated Spaces - Mathematical Sciences Research Institute Publications 9 (Paperback)

(author), (author)
£105.50
Paperback 337 Pages / Published: 14/12/2011
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. The typical setting here is given by a family of elliptic operators (Pb) on the total space of a fibre bundle P = F_M_B. where is defined the Hilbert space on Pb 2 L 1p -llbl.dvollFll. In this case there is an abstract index class indlPI E ROIBI. Once the problem is properly formulated it turns out that no further deep analvtic information is needed in order to identify the class. These theorems and their equivariant counterparts have been enormously useful in topology. geometry. physics. and in representation theory.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461395942
Number of pages: 337
Weight: 527 g
Dimensions: 235 x 155 x 18 mm
Edition: Softcover reprint of the original 1st ed. 198

You may also be interested in...

Fractal Geometry
Added to basket
Fractals: A Very Short Introduction
Added to basket
Algebraic Topology
Added to basket
£29.99
Paperback
Schaums Outline of General Topology
Added to basket
Essential Topology
Added to basket
Knots
Added to basket
£16.95
Paperback
Knot Theory and Its Applications
Added to basket
Riemann Surfaces
Added to basket
Metric Spaces
Added to basket
An Introduction to Knot Theory
Added to basket
Topos Theory
Added to basket
£17.99
Paperback
Introduction to Smooth Manifolds
Added to basket
A Combinatorial Introduction to Topology
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.