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Surfaces in 4-Space
Taschenbuch von Scott Carter (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
1 Diagrams of Knotted Surfaces.- 2 Constructions of Knotted Surfaces.- 3 Topological Invariants.- 4 Quandle Cocycle Invariants.- Epilogue.- Append.- References.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: xiii
214 S.
147 farbige Illustr.
ISBN-13: 9783642059131
ISBN-10: 3642059139
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Carter, Scott
Saito, Masahico
Kamada, Seiichi
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Scott Carter (u. a.)
Erscheinungsdatum: 05.12.2010
Gewicht: 0,353 kg
Artikel-ID: 107174795
Inhaltsverzeichnis
1 Diagrams of Knotted Surfaces.- 2 Constructions of Knotted Surfaces.- 3 Topological Invariants.- 4 Quandle Cocycle Invariants.- Epilogue.- Append.- References.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: xiii
214 S.
147 farbige Illustr.
ISBN-13: 9783642059131
ISBN-10: 3642059139
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Carter, Scott
Saito, Masahico
Kamada, Seiichi
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 13 mm
Von/Mit: Scott Carter (u. a.)
Erscheinungsdatum: 05.12.2010
Gewicht: 0,353 kg
Artikel-ID: 107174795
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