Invitations to Geometry and Topology (Oxford Graduate Texts in Mathematics)

Bridson, Martin R. (EDT)/ Salamon, Simon M. (EDT)

Oxford University Press（2002/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 338 p.
• 言語 ENG
• 商品コード 9780198507727
• DDC分類 514

Full 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.

Contents

Introduction ; 1. A topologist's view of perfect and acyclic groups ; 2. The geometry of the word problem ; 3. The Fuller Index ; 4. The Borel-Weil Theorem for Complex Projective Space ; 5. Morse Theory in the 1990s ; 6. The Dirac Operator ; 7. Hermitian Geometry ; 8. Indices of vector fields and Chern classes for singualr varieties ; List of Research papers by Brian Steer ; Index