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Three-dimensional Link Theory and Invariants of Plane Curve Singularities
  • Language: en
  • Pages: 188

Three-dimensional Link Theory and Invariants of Plane Curve Singularities

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Differentiable Manifolds and Quadratic Forms
  • Language: en
  • Pages: 138

Differentiable Manifolds and Quadratic Forms

  • Type: Book
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  • Published: 1971
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  • Publisher: Unknown

None

Annals of Mathematics Studies
  • Language: en
  • Pages: 792

Annals of Mathematics Studies

  • Type: Book
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  • Published: 1985
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  • Publisher: Unknown

None

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110
  • Language: en
  • Pages: 180

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Topology '90
  • Language: en
  • Pages: 473

Topology '90

This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Topology Symposium Siegen 1979
  • Language: de
  • Pages: 507

Topology Symposium Siegen 1979

  • Type: Book
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  • Published: 2006-12-08
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  • Publisher: Springer

None

Low Dimensional Topology
  • Language: en
  • Pages: 424

Low Dimensional Topology

  • Type: Book
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  • Published: 1999
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  • Publisher: Unknown

None

Introduction to Lipschitz Geometry of Singularities
  • Language: en
  • Pages: 356

Introduction to Lipschitz Geometry of Singularities

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.

Dynamics of Discrete Group Action
  • Language: en
  • Pages: 714

Dynamics of Discrete Group Action

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.

Geometric Group Theory Down Under
  • Language: en
  • Pages: 349

Geometric Group Theory Down Under

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.