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Surfaces in 4-Space

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Springer Berlin,
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This book discusses knotted surfaces in 4-dimensional space and surveys many of the known results, including knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory.

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Hauptbeschreibung

Titel: Surfaces in 4-Space
Autoren/Herausgeber: Scott Carter, Seiichi Kamada, Masahico Saito
Aus der Reihe: Encyclopaedia of Mathematical Sciences
Ausgabe: Softcover reprint of the original 1st ed. 2004

ISBN/EAN: 9783642059131

Seitenzahl: 214
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 355 g
Sprache: Englisch

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.

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