Differential topology / Amiya Mukherjee.
Material type:
TextPublication details: New Delhi : Hindustan Book Agency, 2015.Description: xiii, 349 p. : illustrations ; 24 cmISBN: - 9783319190440
- 514.72 23 M953
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.72 M953 (Browse shelf(Opens below)) | Available | C26480 |
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| 514.72 M723 Riemannian foliations | 514.72 M848 Differential topology of complex surfaces; Elliptic surfaces with Pg=1 | 514.72 M953 Topics in differential topology | 514.72 M953 Differential topology / | 514.72 N248 Differential topology and quantum field theory | 514.72 N322 Groups of circle diffeomorphisms | 514.72 N943 Topological library |
Includes bibliographical references and index.
Preface.-
1.Basic Concepts of Manifolds.-
2.Approximation Theorems and Whitney s Embedding.- 3.Linear Structures on Manifolds.-
4.Riemannian Manifolds.-
5.Vector Bundles on Manifolds.-
6.Transversality.-
7.Tubular Neighbourhoods.-
8.Spaces of Smooth Maps.-
9.Morse Theory.-
10.Theory of Handle Presentations.-
Bibliography.-
Index.
This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem and the generalised Poincaré conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India. The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.
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