EAN: 9783319694337

ALGEBRAIC TOPOLOGY KARTONIERT (TB)

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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