Editors:
- Provides self-contained, introductory texts to some advanced topics in modern algebraic topology
- Includes various topics in homotopical algebra and stable homotopy
- Leads quickly to open and concrete problems
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2194)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G. Ginot, H.-W. Henn and G. Powell. They are all introductory texts and can be used by PhD students and experts in the field.
Among the three contributions, two concern stable homotopy of spheres: Henn focusses on the chromatic point of view, the Morava K(n)-localization and the cohomology of the Morava stabilizer groups. Powell’s chapter is concerned with the derived functors of the destabilization and iterated loop functors and provides a small complex to compute them. Indications are given for the odd prime case.
Providing an introduction to some aspects of string and brane topology, Ginot’s contribution focusses on Hochschild homology and its generalizations. It contains a number of new results and fills a gap in the literature.
Editors and Affiliations
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Department of Mathematics, Vietnam National University, Hanoi, Vietnam
H.V. Hưng Nguyễn
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LAGA, UMR 7539 CNRS Institut Galilée, Université Paris 13, Villetaneuse, France
Lionel Schwartz
Bibliographic Information
Book Title: Algebraic Topology
Book Subtitle: VIASM 2012–2015
Editors: H.V. Hưng Nguyễn, Lionel Schwartz
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-69434-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-69433-7Published: 10 January 2018
eBook ISBN: 978-3-319-69434-4Published: 02 January 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 180
Number of Illustrations: 3 b/w illustrations, 2 illustrations in colour
Topics: Algebraic Topology, Category Theory, Homological Algebra