COMPACT MANIFOLDS WITH SPECIAL HOLONOMY by Dominic David Joyce ( 9780198506010 )

Item Details

Title:

COMPACT MANIFOLDS WITH SPECIAL HOLONOMY

By:

Format:

Hardback

List price:	£170.00
Our price:	£170.00

ISBN 10:

0198506015

ISBN 13:

9780198506010

Availability:

Usually dispatched within 1-3 weeks.

Delivery rates

Stock:

Currently 0 available

Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

20 July, 2000

Series:

Oxford Mathematical Monographs

Pages:

448

Description:

This is a combination of a graduate textbook on Riemannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It is the first book on compact manifolds with exceptional holonomy, and contains much new research material and many new examples.

Synopsis:

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Publication:

Imprint:

Oxford University Press

Returns:

Returnable

Some other items by this author:

RIEMANNIAN HOLONOMY GROUPS AND CALIBRATED GEOMETRY (HB)

RIEMANNIAN HOLONOMY GROUPS AND CALIBRATED GEOMETRY (PB)