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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
 
Eldar Straume University of Trondheim
Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
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
Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
Eldar Straume University of Trondheim
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1251997; 76 pp
    MSC: 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.

    Readership

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

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1251997; 76 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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