Screen LibraryNew ideas in low dimensional topology /
This book consists of a selection of articles devoted to new ideas and develpments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimensi...
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| Group Author: | ; |
|---|---|
| Published: |
World Scientific Publishing Co. Pte. Ltd.,
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| Publisher Address: | Singapore ; Hackensack, NJ ; London : |
| Publication Dates: | [2015] |
| Literature type: | Book |
| Language: | English |
| Series: |
K & E series on knots and everything ;
vol. 56 |
| Subjects: | |
| Summary: |
This book consists of a selection of articles devoted to new ideas and develpments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical |
| Carrier Form: | x, 524 pages : illustrations ; 24 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9789814630610 (hardcover) : 9814630616 (hardcover) |
| Index Number: | QA612 |
| CLC: | O189.12 |
| Call Number: | O189.12/N532 |
| Contents: | 1. Reidemeister/Roseman-type moves to embedded foams in 4-dimensional space / J. Scott Carter -- 2. How to fold a manifold / J. Scott Carter and Seiichi Kamada -- 3. Generalised biquandles for generalised knot theories / Roger Fenn -- 4. Lectures on knot homology and quantum curves / Sergei Gukov and Ingmar Saberi -- 5. Dirac operators in gauge theory / Andriy Haydys -- 6. Graph-links: The state of the art / D. P. Ilyutko, V. O. Manturov and I. M. Nikonov -- 7. A Survey of Heegaard Floer homology / Andras Juhasz -- 8. On the framization of knot algebras / Jesus Juyumaya and Sofia Lambropoulo |