| eBook ISBN: | 978-1-4704-0180-1 |
| Product Code: | MEMO/125/595.E |
| List Price: | $45.00 |
| MAA Member Price: | $40.50 |
| AMS Member Price: | $27.00 |
| eBook ISBN: | 978-1-4704-0180-1 |
| Product Code: | MEMO/125/595.E |
| List Price: | $45.00 |
| MAA Member Price: | $40.50 |
| AMS Member Price: | $27.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 125; 1997; 76 ppMSC: Primary 57; Secondary 22
In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group. Based on the geometric weight system classification of Part I, the possible orbit structures are determined, and the exotic G-spheres are constructed by equivariant twisting of the orthogonal models.
ReadershipGraduate students and research mathematicians interested in Lie theory and geometry and topology.
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Table of Contents
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Chapters
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Introduction
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I. Organization of orthogonal models and orbit structures
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II. Orbit structures for $G$-spheres of cohomogeneity two
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III. The reconstruction problem
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IV. $G$-spheres of cohomogeneity two with at most two isolated orbits
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V. $G$-spheres of cohomogeneity two with three isolated orbits
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In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group. Based on the geometric weight system classification of Part I, the possible orbit structures are determined, and the exotic G-spheres are constructed by equivariant twisting of the orthogonal models.
Graduate students and research mathematicians interested in Lie theory and geometry and topology.
-
Chapters
-
Introduction
-
I. Organization of orthogonal models and orbit structures
-
II. Orbit structures for $G$-spheres of cohomogeneity two
-
III. The reconstruction problem
-
IV. $G$-spheres of cohomogeneity two with at most two isolated orbits
-
V. $G$-spheres of cohomogeneity two with three isolated orbits
