Elliptic Structures on 3-Manifolds

This book provides a comprehensive overview of free actions by finite groups on S, covering foundational topics like Seifert manifolds, group classification, and specific actions on lens and prism manifolds.

Elliptic Structures on 3-Manifolds provides a comprehensive examination of the established results concerning free actions of finite groups on 3-manifolds. The book opens with foundational concepts related to Seifert manifolds and group classification, setting the stage for the more complex discussions that follow. This initial section is crucial for readers to grasp the underlying principles that govern the interactions between groups and manifold structures.

Subsequent chapters delve into specific topics, including free actions of the groups bZe/2 and bZe/3 on lens and prism manifolds. These sections highlight the intricate relationships between group actions and the geometric properties of the manifolds in question. The author meticulously explores the implications of these actions, providing insights into how they shape the topology and geometry of the spaces involved.

Additionally, the book addresses the reduction theorem and tangential structure, further enriching the discourse on elliptic structures. By weaving together these various themes, the text not only presents known results but also encourages readers to consider the broader implications of group actions in the study of 3-manifolds. Overall, Elliptic Structures on 3-Manifolds serves as an essential resource for mathematicians and researchers interested in the interplay between group theory and manifold topology.