Invitations to geometry and topology / edited by Martin R. Bridson and Simon M. Salamon.

Format:

Book

Contributor:

Bridson, Martin R., 1964-

Salamon, Simon

Anne and Joseph Trachtman Memorial Book Fund.

Series:

Oxford graduate texts in mathematics ; 7.

Oxford science publications

Oxford graduate texts in mathematics ; 7

Language:

English

Subjects (All):

Geometry.

Topology.

Physical Description:

327 pages : illustrations ; 25 cm.

Place of Publication:

Oxford ; New York : Oxford University Press, 2002.

Summary:

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.

Contents:

1. A topologist's view of perfect and acyclic groups / A. J. Berrick 1

2. The geometry of the word problem / M. R. Bridson 29

3. The Fuller index / M. C. Crabb, A. J. B. Potter 92

4. The Borel-Weil theorem for complex projective space / M. Eastwood, J. Sawon 126

5. Morse theory in the 1990s / M. A. Guest 146

6. The Dirac operator / N. J. Hitchin 208

7. Hermitian geometry / S. M. Salamon 233

8. Indices of vector fields and Chern classes for singular varieties / J. Seade 292.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Anne and Joseph Trachtman Memorial Book Fund.

ISBN:

0198507720

OCLC:

48753167