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Global Homotopy Theory Stefan Schwede

  • SKU: BELL-9971720
Global Homotopy Theory Stefan Schwede
$ 31.00 $ 45.00 (-31%)

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Global Homotopy Theory Stefan Schwede instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 3.37 MB
Pages: 828
Author: Stefan Schwede
ISBN: 9781108349161, 9781108425810, 1108349161, 110842581X
Language: English
Year: 2018

Product desciption

Global Homotopy Theory Stefan Schwede by Stefan Schwede 9781108349161, 9781108425810, 1108349161, 110842581X instant download after payment.

Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena. 
Abstract: Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena

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