Invitations to Geometry and Topology
Series: Oxford Graduate Texts in Mathematics; 7;
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Product details:
- Publisher OUP Oxford
- Date of Publication 3 October 2002
- ISBN 9780198507727
- Binding Hardback
- No. of pages338 pages
- Size 242x161x23 mm
- Weight 648 g
- Language English
- Illustrations numerous figures 0
Categories
Short description:
This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry to geometric group theory, and the text is accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.
MoreLong description:
This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing.
The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.
The editors, M.R. Bridson and S.M. Salamon, have each written an article and are accompanied by A.J. Berrick; M.C. Crabb and A.J.B Potter; M. Eastwood and J. Sawon; M.A. Guest; N.J. Hitchin and J.Seade.
The book contains rich and interesting material covering a broad part of geometry and topology which is explained in an accessible way. It is without any doubt an excellent book for graduate students as well as for mathematicians from other fields interested in these topics.
Table of Contents:
Introduction
A topologist's view of perfect and acyclic groups
The geometry of the word problem
The Fuller Index
The Borel-Weil Theorem for Complex Projective Space
Morse Theory in the 1990s
The Dirac Operator
Hermitian Geometry
Indices of vector fields and Chern classes for singualr varieties
List of Research papers by Brian Steer
Index
