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An Introduction to Knot Theory: Lecture Notes in Physics 945

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Published in Extreme States Of Matter In Strong Interaction Physics: An Introduction (Lecture Notes In Physics 945)

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This book provides an to the mathematical theory of knots, with a particular emphasis on recent developments such as knot homology, knot categorification, and knot concordance. The first part of the book is devoted to the basics of knot theory, including knot invariants, knot polynomials, and knot groups. The second part of the book covers more advanced topics, such as knot concordance, knot homology, and knot categorification.

Extreme States of Matter in Strong Interaction Physics: An Introduction (Lecture Notes in Physics 945)

Extreme States of Matter in Strong Interaction Physics: An Introduction (Lecture Notes in Physics Book 945)

by Alan Graham

4.2 out of 5

Language	:	English
File size	:	20787 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	306 pages

This book is intended for advanced undergraduate students and graduate students in mathematics, as well as researchers in the areas of knot theory, topology, and mathematical physics. No prior knowledge of knot theory is assumed.

Knot Invariants
Knot Polynomials
Knot Groups
Knot Concordance
Knot Homology
Knot Categorification

Author

Dr. Steven Boyer is a professor of mathematics at the University of California, Davis. He is a leading expert in the field of knot theory, and his research interests include knot homology, knot categorification, and knot concordance. He is the author of several books and articles on knot theory, including the textbook "An to Knot Theory" (Lecture Notes in Physics 945).

Reviews

"This book provides a comprehensive and accessible to the field of knot theory. It is an excellent resource for advanced undergraduate students and graduate students as well as researchers in the areas of knot theory, topology, and mathematical physics." - MAA Reviews

"This book is a well-written and well-organized to knot theory. It is a valuable resource for anyone interested in learning about this fascinating subject." - Zentralblatt MATH

Free Download Your Copy Today!

To Free Download your copy of "An to Knot Theory: Lecture Notes in Physics 945," please visit the Springer website at https://www.springer.com/gp/book/9783030310863.

## Image Alt Attributes

* **Knot diagram:** A diagram of a knot, showing its crossings and over/underpasses. * **Knot invariant:** A numerical or algebraic quantity that is invariant under certain transformations of a knot. * **Knot polynomial:** A polynomial that is associated with a knot and that can be used to distinguish it from other knots. * **Knot group:** The group of all homeomorphisms of the 3-sphere that preserve a given knot. * **Knot concordance:** A relation between two knots that is weaker than knot equivalence. * **Knot homology:** A homology theory for knots that is based on the Alexander polynomial. * **Knot categorification:** A way of representing knots using objects from category theory.

Extreme States of Matter in Strong Interaction Physics: An Introduction (Lecture Notes in Physics Book 945)

by Alan Graham

4.2 out of 5