Grid homology for knots and links /
Saved in:
| Author / Creator: | Ozsváth, Peter Steven, 1967- author. |
|---|---|
| Imprint: | Providence, Rhode Island : American Mathematical Society, [2015] |
| Description: | x, 410 pages : illustrations ; 27 cm. |
| Language: | English |
| Series: | Mathematical surveys and monographs ; volume 208 Mathematical surveys and monographs ; no. 208. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10444420 |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | 10444420 | ||
| 003 | ICU | ||
| 005 | 20160111083034.6 | ||
| 008 | 150731s2015 riua b 001 0 eng | ||
| 010 | |a 2015025903 | ||
| 020 | |a 9781470417376 |q hardcover |q alkaline paper | ||
| 020 | |a 1470417375 |q hardcover |q alkaline paper | ||
| 035 | |a (OCoLC)915323944 | ||
| 040 | |a DLC |e rda |b eng |c DLC |d YDX |d YDXCP |d BTCTA |d OCLCF |d NRC |d GZN |d KSU |d ORE |d CDX | ||
| 042 | |a pcc | ||
| 049 | |a CGUA | ||
| 050 | 0 | 0 | |a QA612.2 |b .O97 2015 |
| 082 | 0 | 0 | |a 514/.2242 |2 23 |
| 084 | |a 57M25 |a 57M27 |a 57R58 |a 53D10 |2 msc | ||
| 100 | 1 | |a Ozsváth, Peter Steven, |d 1967- |e author. |0 http://id.loc.gov/authorities/names/nr94017836 |1 http://viaf.org/viaf/114302691 | |
| 245 | 1 | 0 | |a Grid homology for knots and links / |c Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2015] | |
| 300 | |a x, 410 pages : |b illustrations ; |c 27 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Mathematical surveys and monographs ; |v volume 208 | |
| 504 | |a Includes bibliographical references (pages 399-406) and index. | ||
| 505 | 0 | |a Introduction -- Knots and links in S³ -- Grid diagrams -- Grid homology -- The invariance of grid homology -- The unknotting number and tau -- Basic properties of grid homology -- The slice genus and tau -- The oriented skein exact sequence -- Grid homologies of alternating knots -- Grid homology for links -- Invariants of Legendrian and transverse knots -- The filtered grid complex -- More on the filtered chain complex -- Grid homology over the integers -- The holomorphic theory -- Open problems. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Knot theory. |0 http://id.loc.gov/authorities/subjects/sh85072726 | |
| 650 | 0 | |a Link theory. |0 http://id.loc.gov/authorities/subjects/sh85077238 | |
| 650 | 0 | |a Homology theory. |0 http://id.loc.gov/authorities/subjects/sh85061770 | |
| 650 | 7 | |a Manifolds and cell complexes -- Low-dimensional topology -- Knots and links in $S^3$. |2 msc | |
| 650 | 7 | |a Manifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifolds. |2 msc | |
| 650 | 7 | |a Manifolds and cell complexes -- Differential topology -- Floer homology. |2 msc | |
| 650 | 7 | |a Differential geometry -- Symplectic geometry, contact geometry -- Contact manifolds, general. |2 msc | |
| 650 | 7 | |a Homology theory. |2 fast |0 (OCoLC)fst00959720 | |
| 650 | 7 | |a Knot theory. |2 fast |0 (OCoLC)fst00988171 | |
| 650 | 7 | |a Link theory. |2 fast |0 (OCoLC)fst00999255 | |
| 700 | 1 | |a Stipsicz, András, |e author. |0 http://id.loc.gov/authorities/names/nr94013367 |1 http://viaf.org/viaf/30626239 | |
| 700 | 1 | |a Szabó, Zoltán, |d 1965- |e author. |0 http://id.loc.gov/authorities/names/n2015047228 |1 http://viaf.org/viaf/316878844 | |
| 830 | 0 | |a Mathematical surveys and monographs ; |v no. 208. | |
| 903 | |a HeVa | ||
| 929 | |a cat | ||
| 999 | f | f | |i 46874086-20eb-5368-9b21-bd70dd63e6f1 |s 05558894-715b-503d-a91c-88e600a95248 |
| 928 | |t Library of Congress classification |a QA612.2.O97 2015 |l Eck |c Eck-Eck |i 8620213 | ||
| 927 | |t Library of Congress classification |a QA612.2.O97 2015 |l Eck |c Eck-Eck |b 111535661 |i 9534963 | ||