Publication

2004-05-27 - Springer

Language

English

Word Count

53,250 words, Guess

Page Count

213 pages

Physical Format

Hardcover

Identifiers

and 2 more
  • Library of Congress Control Number2006299570
  • Goodreads6154524

Classifications

  • LCCQA611-614.97

Description

Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.

Description

""Surfaces in 4-Space" discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. As a survey, the book is a guide book to the extensive literature on knotted surfaces. Many recent results comprise the last chapter, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included." "The book contains many new illustrations of knotted surface diagrams. The reader of the book will become aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case."--BOOK JACKET.

First Sentence

A fundamental problem in topology is to find a good geometric representation of the topological entity.

Subjects

Other Editions

  • Surfaces in 4-SpaceHardcoverSpringer2004-05-27

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