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Algebraic Topology - VIASM 2012-2015 (Paperback, 1st ed. 2017)
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Algebraic Topology - VIASM 2012-2015 (Paperback, 1st ed. 2017)
Series: Lecture Notes in Mathematics, 2194
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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.
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