Algebraic Topology: Viasm 2012–2015 (lecture Notes In Mathematics)
by H.V. Hưng Nguyễn /
2018 / English / PDF
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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.
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.
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.
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.