Geometry of Characteristic Classes - Translations of Mathematical Monographs (Paperback)
  • Geometry of Characteristic Classes - Translations of Mathematical Monographs (Paperback)
zoom

Geometry of Characteristic Classes - Translations of Mathematical Monographs (Paperback)

£43.95
Paperback Published: 30/04/2001
  • We can order this

Usually despatched within 2 weeks

  • This item has been added to your basket
Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Characteristic classes were later defined (via the Chern-Weil theory) using connections on vector bundles, thus revealing their geometric side. In the late 1960s new theories arose that described still finer structures.Examples of the so-called secondary characteristic classes came from Chern-Simons invariants, Gelfand-Fuks cohomology, and the characteristic classes of flat bundles. The new techniques are particularly useful for the study of fiber bundles whose structure groups are not finite dimensional. The theory of characteristic classes of surface bundles is perhaps the most developed. Here the special geometry of surfaces allows one to connect this theory to the theory of moduli space of Riemann surfaces, i.e., Teichmuller theory. In this book Morita presents an introduction to the modern theories of characteristic classes.

Publisher: American Mathematical Society
ISBN: 9780821821398
Weight: 255 g
Dimensions: 230 x 140 x 13 mm

You may also be interested in...

Elementary Differential Geometry
Added to basket
Islamic Design
Added to basket
£5.99
Paperback
Ruler and Compass
Added to basket
£5.99
Paperback
Mathematical Origami
Added to basket
Introducing Fractals
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Platonic and Archimedean Solids
Added to basket
Fractals: A Very Short Introduction
Added to basket
Trigonometry For Dummies
Added to basket
Euclid's Window
Added to basket
Maths for Science
Added to basket
£35.99
Paperback
Euclid's Elements
Added to basket
£31.99
Hardback

Reviews

Please sign in to write a review

Your review has been submitted successfully.