Differential Forms in Algebraic Topology

ISBN-10: 0387906134
ISBN-13: 9780387906133
Edition: 3rd 1982
List price: $74.95 Buy it from $71.86
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Description: This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory,  More...

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Book details

List price: $74.95
Edition: 3rd
Copyright year: 1982
Publisher: Springer
Publication date: 4/21/1995
Binding: Hardcover
Pages: 338
Size: 8.00" wide x 10.00" long x 0.50" tall
Weight: 0.990
Language: English

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes-and include some applications to homotopy theory. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, "Differential Forms in Algebraic Topology" should be suitable for self-study or for a one- semester course in topology.

Loring W. Tu was born in Taipei, Taiwan, and grew up in Taiwan,Canada, and the United States. He attended McGill University and Princeton University as an undergraduate, and obtained his Ph.D. from Harvard University under the supervision of Phillip A. Griffiths. He has taught at the University of Michigan, Ann Arbor, and at Johns Hopkins University, and is currently Professor of Mathematics at Tufts University in Massachusetts. An algebraic geometer by training, he has done research at the interface of algebraic geometry,topology, and differential geometry, including Hodge theory, degeneracy loci, moduli spaces of vector bundles, and equivariant cohomology. He is the coauthor with Raoul Bott of "Differential Forms in Algebraic Topology."

Contents: De Rham Theory
The Tic-Tac-Toe Game
Spectral Sequences
Characteristic Classes
Bibliography
Glossary of Notations

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