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Equivariant Ordinary Homology and Cohomology (Paperback, 1st ed. 2016)
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Equivariant Ordinary Homology and Cohomology (Paperback, 1st ed. 2016)
Series: Lecture Notes in Mathematics, 2178
Expected to ship within 10 - 15 working days
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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
Poincare 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.
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