MARC details
000 -LEADER |
fixed length control field |
02039cam a22002898i 4500 |
001 - CONTROL NUMBER |
control field |
136733 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
ISI Library, Kolkata |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20160406154519.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
150731s2015 riu b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470417376 (alk. paper) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ISI Library |
Language of cataloging |
eng |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510MS |
Edition number |
23 |
Item number |
Am512 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ozsvath, Peter S. |
245 10 - TITLE STATEMENT |
Title |
Grid homology for knots and links / |
Statement of responsibility, etc |
Peter S. Ozsvath, Andras I. Stipsicz and Zoltan Szabo. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Providence : |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2015. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 410 p. : |
Other physical details |
illustrations ; |
Dimensions |
27 cm. |
490 0# - SERIES STATEMENT |
Series statement |
Mathematical surveys and monographs ; |
Volume number/sequential designation |
v 208. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1. Introduction --<br/>2. Knots and links in S3 --<br/>3. Grid diagrams --<br/>4. Grid homology --<br/>5. The invariance of grid homology --<br/>6. The unknotting number and tau --<br/>7. Basic properties of grid homology --<br/>8. The slice genus and tau --<br/>9. The oriented skein exact sequence --<br/>10. Grid homologies of alternating knots --<br/>11. Grid homology for links --<br/>12. Invariants of Legendrian and transverse knots --<br/>13. The filtered grid complex --<br/>14. More on the filtered chain complex --<br/>15. Grid homology over the integers --<br/>16. The holomorphic theory --<br/>17. Open problems --<br/>Appendixes --<br/>Bibliography --<br/>Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Knot theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Link theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Homology theory. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Stipsicz, Andras I., |
Relator term |
author |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Szabo, Zoltan, |
Relator term |
author |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |