Lecture Notes in Mathematics
cover

Algebraic Topology

VIASM 2012–2015

Editors: NGUYEN H. V., HUNG, Schwartz, Lionel (Eds.)

  • 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

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  • ISBN 978-3-319-69434-4
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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. 

Table of contents (3 chapters)

Table of contents (3 chapters)
  • Hodge Filtration and Operations in Higher Hochschild (Co)homology and Applications to Higher String Topology

    Pages 1-104

    Ginot, Grégory

  • On the Derived Functors of Destabilization and of Iterated Loop Functors

    Pages 105-147

    Powell, Geoffrey

  • A Mini-Course on Morava Stabilizer Groups and Their Cohomology

    Pages 149-178

    Henn, Hans-Werner

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-3-319-69434-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Topology
Book Subtitle
VIASM 2012–2015
Editors
  • HUNG NGUYEN H. V.
  • Lionel Schwartz
Series Title
Lecture Notes in Mathematics
Series Volume
2194
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-69434-4
DOI
10.1007/978-3-319-69434-4
Softcover ISBN
978-3-319-69433-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VII, 180
Number of Illustrations
3 b/w illustrations, 2 illustrations in colour
Topics