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Equivariant Ordinary Homology and Cohomology
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Catalogue Information
Field name
Details
Dewey Class
514.2
Title
Equivariant Ordinary Homology and Cohomology ([EBook]) / by Steven R. Costenoble, Stefan Waner.
Author
Costenoble, Steven R.
Added Personal Name
Waner, Stefan
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
XIV, 294 p. 1 illus. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 2178
ISBN
9783319504483
Summary Note
Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through sophisticated machinery but still desiring a rigorous understanding of the main concepts. The subject’s classical counterparts, ordinary homology and cohomology, dating back to the work of Henri Poincaré in topology, are calculational and theoretical tools which are important in many parts of mathematics and theoretical physics, particularly in the study of manifolds. Similarly powerful tools have been lacking, however, in the context of equivariant topology. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions. .:
Contents note
1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-50448-3
Links to Related Works
Subject References:
Algebraic Topology
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Category Theory, Homological Algebra
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Category theory (Mathematics)
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Complex manifolds
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Homological algebra
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Lie groups
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Manifolds (Mathematics)
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Mathematics
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Topological groups
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Topological groups, Lie groups
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Authors:
Costenoble, Steven R.
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Waner, Stefan
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
514.2
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