Differential topology

By:

Wall, C. T. C

Series: Cambridge studies in advanced mathematics ; 156Publication details: Cambridge University Press, 2016. Cambridge:Description: vii, 346p. : ill. ; hb, 23 cmISBN:

9781107153523

Subject(s):

DDC classification:

514.72 WAL

Summary: Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	514.72 WAL (Browse shelf(Opens below))	1	Available		030086

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Previous	514.72 MOE Introduction to foliations and lie groupoids	514.72 MUK Differential topology	514.72 WAL Differential topology: first steps	514.72 WAL Differential topology	514.74 GES Soliton equations and their algebro-geometric solutions: dimensional continuous models, Vol. 1	514.74 GES Soliton equations and their algebro-geometric solutions: dimensional discrete models, Vol. 2	514.74 GIL Invariance theory: the heat equation, and the Atiyah Singer index theorem	Next

Includes bibliographical references and index.

Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

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