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Surface-Knots in 4-Space

- An Introduction
Engelsk Paperback

Surface-Knots in 4-Space

- An Introduction
Engelsk Paperback

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Om denne bog
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 are closed curves (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval.Included in this book are basics of surface-knots and the related topics ofclassical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids.
Product detaljer
Sprog:
Engelsk
Sider:
212
ISBN-13:
9789811350467
Indbinding:
Paperback
Udgave:
ISBN-10:
9811350469
Udg. Dato:
9 dec 2018
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Verlag, Singapore
Oplagsdato:
9 dec 2018
Forfatter(e):
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