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Automorphisms of Manifolds and Algebraic $K$-Theory: Part III

2014-08-12 Mathematics
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Release : 2014-08-12
Genre : Mathematics
Kind : eBook
Book Rating : 81X/5 ( reviews)

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Book Synopsis Automorphisms of Manifolds and Algebraic $K$-Theory: Part III by : Michael S. Weiss

Download or read book Automorphisms of Manifolds and Algebraic $K$-Theory: Part III written by Michael S. Weiss. This book was released on 2014-08-12. Available in PDF, EPUB and Kindle. Book excerpt: The structure space of a closed topological -manifold classifies bundles whose fibers are closed -manifolds equipped with a homotopy equivalence to . The authors construct a highly connected map from to a concoction of algebraic -theory and algebraic -theory spaces associated with . The construction refines the well-known surgery theoretic analysis of the block structure space of in terms of -theory.

Automorphisms of manifolds and algebraic k-theory

1991
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Release : 1991
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Book Rating : /5 ( reviews)

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Book Synopsis Automorphisms of manifolds and algebraic k-theory by : Michael Weiss

Download or read book Automorphisms of manifolds and algebraic k-theory written by Michael Weiss. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys on Surgery Theory

2000-01-10 Mathematics
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Release : 2000-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 380/5 ( reviews)

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Book Synopsis Surveys on Surgery Theory by : Sylvain E. Cappell

Download or read book Surveys on Surgery Theory written by Sylvain E. Cappell. This book was released on 2000-01-10. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

A Homology Theory for Smale Spaces

2014-09-29 Mathematics
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Release : 2014-09-29
Genre : Mathematics
Kind : eBook
Book Rating : 097/5 ( reviews)

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Book Synopsis A Homology Theory for Smale Spaces by : Ian F. Putnam

Download or read book A Homology Theory for Smale Spaces written by Ian F. Putnam. This book was released on 2014-09-29. Available in PDF, EPUB and Kindle. Book excerpt: The author develops a homology theory for Smale spaces, which include the basics sets for an Axiom A diffeomorphism. It is based on two ingredients. The first is an improved version of Bowen's result that every such system is the image of a shift of finite type under a finite-to-one factor map. The second is Krieger's dimension group invariant for shifts of finite type. He proves a Lefschetz formula which relates the number of periodic points of the system for a given period to trace data from the action of the dynamics on the homology groups. The existence of such a theory was proposed by Bowen in the 1970s.

Irreducible Almost Simple Subgroups of Classical Algebraic Groups

2015-06-26 Mathematics
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Release : 2015-06-26
Genre : Mathematics
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Book Rating : 46X/5 ( reviews)

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Book Synopsis Irreducible Almost Simple Subgroups of Classical Algebraic Groups by : Timothy C. Burness

Download or read book Irreducible Almost Simple Subgroups of Classical Algebraic Groups written by Timothy C. Burness. This book was released on 2015-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a nontrivial -restricted irreducible tensor indecomposable rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where and is a disconnected almost simple positive-dimensional closed subgroup of acting irreducibly on . Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples where is a simple algebraic group over , and is a maximal closed subgroup of positive dimension.

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