Electronic ISBN:  9781470401801 
Product Code:  MEMO/125/595.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $27.00 

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) Gspheres with 2dimensional 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 Gspheres are constructed by equivariant twisting of the orthogonal models.
ReadershipGraduate 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


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In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) Gspheres with 2dimensional 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 Gspheres 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