Algebraic Topology
VIASM 2012-2015
1st Edition
Published on 10. January 2018
Book
Paperback/Softback
188 pages
978-3-319-69433-7 (ISBN)
Description
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.
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.
More details
Product info
Paperback
Series
Edition
1st ed. 2017
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
College/higher education
Illustrations
2 farbige Abbildungen, 3 s/w Abbildungen, 10 farbige Tabellen
10 Tables, color; 2 Illustrations, color; 3 Illustrations, black and white; VII, 180 p. 5 illus., 2 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
295 gr
ISBN-13
978-3-319-69433-7 (9783319694337)
DOI
10.1007/978-3-319-69434-4
Schweitzer Classification
Other editions
Additional editions
E-Book
01/2018
Springer
€42.79
Available for download
Content
Introduction.-Gregory Ginot: Hodge Filtration and operations in higher Hochschild (co)homology and applications to higher string topology.-Geoffrey Powell: On the derived functors of destabilization and of iterated loop Functors.-Hans-Werner Henn: A mini-course on Morava Stabilizer groups and their cohomology.