Surface-Knots in 4-Space An Introduction /

• Main Author: Kamada, Seiichi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Geometry.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. Knots and links a...

Table of Contents:

• 1 Surface-knots
• 2 Knots
• 3 Motion pictures
• 4 Surface diagrams
• 5 Handle surgery and ribbon surface-knots
• 6 Spinning construction
• 7 Knot concordance
• 8 Quandles
• 9 Quandle homology groups and invariants
• 10 2-Dimensional braids
• Bibliography
• Epilogue
• Index.