Grid homology for knots and links /
Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatm...
| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[2015]
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| Series: | Mathematical surveys and monographs ;
no. 208. |
| Subjects: |
| Summary: | Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. |
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| Physical Description: | x, 410 pages : illustrations ; 27 cm. |
| Bibliography: | Includes bibliographical references (pages 399-406) and index. |
| ISBN: | 9781470417376 1470417375 |