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Surface-Knots in 4-Space: An Introduction by Seiichi Kamada (English) Paperback

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Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
ISBN-13
9789811350467
Book Title
Surface-Knots in 4-Space
ISBN
9789811350467
Publication Year
2018
Series
Springer Monographs in Mathematics Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Publication Name
Surface-Knots in 4-Space : an Introduction
Author
Seiichi Kamada
Item Length
9.3in
Publisher
Springer
Item Width
6.1in
Item Weight
16 Oz
Number of Pages
Xi, 212 Pages

About this product

Product Information

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 Identifiers

Publisher
Springer
ISBN-10
9811350469
ISBN-13
9789811350467
eBay Product ID (ePID)
11038414384

Product Key Features

Author
Seiichi Kamada
Publication Name
Surface-Knots in 4-Space : an Introduction
Format
Trade Paperback
Language
English
Publication Year
2018
Series
Springer Monographs in Mathematics Ser.
Type
Textbook
Number of Pages
Xi, 212 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
16 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa440-699
Reviews
"Kamada provides a discussion of a great deal of important machinery and current approaches to both knot theory in the more familiar and prosaic sense as well as the more exotic surface-knot theory, the book's main focus. ... is well-written, theorems are plentiful and proven, there are a huge number of diagrams and pictures ... there are lots of examples, and there are even exercises. This book indeed looks like a good place to learn about surface knots in 4-space." (Michael Berg, MAA Reviews, December, 2017)
Table of Content
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.
Copyright Date
2017
Topic
Geometry / Non-Euclidean, Geometry / General, Topology
Dewey Decimal
515.2242
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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