Invitations to Geometry and Topology

Hardcover | October 15, 2002

EditorMartin R. Bridson, Simon M. Salamon

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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.

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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, an...

Martin R. Bridson is at Imperial College, London. Simon M. Salamon is a Professor of Geometry, Politecnico di Torino.

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Format:HardcoverDimensions:338 pages, 9.21 × 6.14 × 0.94 inPublished:October 15, 2002Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198507720

ISBN - 13:9780198507727

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Table of Contents

Introduction1. A.J. Berrick: A topologist's view of perfect and acyclic groups2. M.R. Bridson: The geometry of the word problem3. M.C. Crabb and A.J.B Potter: The Fuller Index4. M. Eastwood and J. Sawon: The Borel-Weil Theorem for Complex Projective Space5. M.A. Guest: Morse Theory in the 1990s6. N.J. Hitchin: The Dirac Operator7. S.M. Salamon: Hermitian Geometry8. J. Seade: Indices of vector fields and Chern classes for singualr varietiesList of Research papers by Brian SteerIndex