Local Surgery and the Exact Sequence of a Localization for Wall Groups PDF Download
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Author: William Pardon
Publisher: American Mathematical Soc.
ISBN: 0821821962
Category : Cuba
Languages : en
Pages : 187
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Book Description
In the monograph under consideration here the author develops the geometry of the situation, for any [lowercase Greek]Pi. The main tool is the notion of "a local surgery on a conglomerate Moore space'', which is a sequence of surgeries on a normal map [script]f such that each of the maps in the trace ([italic]g;[script]f,[script]fʹ):([italic]N;M,Mʹ) [right arrow]→[italic]X is a rational homotopy equivalence. It is possible to perform local surgery below the middle dimension to make an n-dimensional rational homotopy equivalence [([italic]n−2)/2]-connected, and to prove a local [lowercase Greek]Pi −[lowercase Greek]Pi theorem, so that the global local surgery obstruction is the Witt class of the linking form on the remaining kernel torsion modules. This brief summary belies the technical difficulties which have to be overcome in the process, particularly the geometric intersection theory of local surgery.
Author: William Pardon
Publisher: American Mathematical Soc.
ISBN: 0821821962
Category : Cuba
Languages : en
Pages : 187
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Book Description
In the monograph under consideration here the author develops the geometry of the situation, for any [lowercase Greek]Pi. The main tool is the notion of "a local surgery on a conglomerate Moore space'', which is a sequence of surgeries on a normal map [script]f such that each of the maps in the trace ([italic]g;[script]f,[script]fʹ):([italic]N;M,Mʹ) [right arrow]→[italic]X is a rational homotopy equivalence. It is possible to perform local surgery below the middle dimension to make an n-dimensional rational homotopy equivalence [([italic]n−2)/2]-connected, and to prove a local [lowercase Greek]Pi −[lowercase Greek]Pi theorem, so that the global local surgery obstruction is the Witt class of the linking form on the remaining kernel torsion modules. This brief summary belies the technical difficulties which have to be overcome in the process, particularly the geometric intersection theory of local surgery.
Author: Stanley Chang
Publisher: Princeton University Press
ISBN: 069116049X
Category : Mathematics
Languages : en
Pages : 442
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Book Description
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and respected series in science published, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. Book jacket.
Author: R. Keith Dennis
Publisher: Springer
ISBN: 3540395563
Category : Mathematics
Languages : en
Pages : 421
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Author: P. Hoffman
Publisher: Springer
ISBN: 3540350098
Category : Mathematics
Languages : en
Pages : 668
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Author: Sylvain Cappell
Publisher: Princeton University Press
ISBN: 1400865190
Category : Mathematics
Languages : en
Pages : 448
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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.
Author: Ulrich Koschorke
Publisher: Springer
ISBN: 3540391878
Category : Mathematics
Languages : en
Pages : 507
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Languages : en
Pages :
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Category : Engineering
Languages : en
Pages : 486
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Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 488
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Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 476
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