Surfaces in 4-Space

Scott Carter, Seiichi Kamada, Masahico Saito - Collection Encyclopaedia of Mathematical Sciences

213 pages, parution le 03/05/2004

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Résumé

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.

Written for:
Geometric topologists, algebraic topologists, advanced graduate students, mathematicians, and physicists

Sommaire

Prologue
Diagrams of Knotted Surfaces
Constructions of Knotted Surfaces
Topological Invariants
Quandle Cocycle Invariants
Epilogue
Appendix
References
Index

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Scott Carter, Seiichi Kamada, Masahico Saito
Collection	Encyclopaedia of Mathematical Sciences
Parution	03/05/2004
Nb. de pages	213
Format	16 x 24
Couverture	Broché
Poids	460g
Intérieur	Noir et Blanc
EAN13	9783540210405