1# Library to Find Best eBook for Read
Author : Christian Wimmer
Release : 2017
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Rational Global Homotopy Theory and Geometric Fixed Points by : Christian Wimmer
Download or read book Rational Global Homotopy Theory and Geometric Fixed Points written by Christian Wimmer. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefan Schwede
Release : 2018-09-06
Genre : Mathematics
Kind : eBook
Book Rating : 658/5 ( reviews)
Book Synopsis Global Homotopy Theory by : Stefan Schwede
Download or read book Global Homotopy Theory written by Stefan Schwede. This book was released on 2018-09-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : John Patrick Campbell Greenlees
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 014/5 ( reviews)
Book Synopsis Rational $S^1$-Equivariant Stable Homotopy Theory by : John Patrick Campbell Greenlees
Download or read book Rational $S^1$-Equivariant Stable Homotopy Theory written by John Patrick Campbell Greenlees. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: The memoir presents a systematic study of rational S1-equivariant cohomology theories, and a complete algebraic model for them. It provides a classification of such cohomology theories in simple algebraic terms and a practical means of calculation. The power of the model is illustrated by analysis of the Segal conjecture, the behaviour of the Atiyah-Hirzebruch spectral sequence, the structure of S1-equivariant K-theory, and the rational behaviour of cyclotomic spectra and the topological cyclic homology construction.
Author : L. Gaunce Jr. Lewis
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 778/5 ( reviews)
Book Synopsis Equivariant Stable Homotopy Theory by : L. Gaunce Jr. Lewis
Download or read book Equivariant Stable Homotopy Theory written by L. Gaunce Jr. Lewis. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This book is a foundational piece of work in stable homotopy theory and in the theory of transformation groups. It may be roughly divided into two parts. The first part deals with foundations of (equivariant) stable homotopy theory. A workable category of CW-spectra is developed. The foundations are such that an action of a compact Lie group is considered throughout, and spectra allow desuspension by arbitrary representations. But even if the reader forgets about group actions, he will find many details of the theory worked out for the first time. More subtle constructions like smash products, function spectra, change of group isomorphisms, fixed point and orbit spectra are treated. While it is impossible to survey properly the material which is covered in the book, it does boast these general features: (i) a thorough and reliable presentation of the foundations of the theory; (ii) a large number of basic results, principal applications, and fundamental techniques presented for the first time in a coherent theory, unifying numerous treatments of special cases in the literature.
Author : Wen-tsün Wu
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)
Book Synopsis Rational Homotopy Type by : Wen-tsün Wu
Download or read book Rational Homotopy Type written by Wen-tsün Wu. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further.
