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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
Eldar Straume, University of California, Berkeley, CA
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Memoirs of the American Mathematical Society
1997; 76 pp; softcover
Volume: 125
ISBN-10: 0-8218-0483-9
ISBN-13: 978-0-8218-0483-4
List Price: US$45
Individual Members: US$27
Institutional Members: US$36
Order Code: MEMO/125/595
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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.

Readership

Graduate students and research mathematicians interested in Lie theory and geometry and topology.

Table of Contents

  • Organization of orthogonal models and orbit structures
  • Orbit structures for G-spheres of cohomogeneity two
  • The reconstruction problem
  • G-spheres of cohomogeneity two with at most two isolated orbits
  • G-spheres of cohomogeneity two with three isolated orbits
  • Figures
  • References
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