| 000 | 01930 a2200373 4500 | ||
|---|---|---|---|
| 001 | 1315362198 | ||
| 005 | 20250317111604.0 | ||
| 008 | 250312042018xx 17 eng | ||
| 020 | _a9781315362199 | ||
| 037 |
_bTaylor & Francis _cGBP 160.00 _fBB |
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| 040 | _a01 | ||
| 041 | _aeng | ||
| 072 | 7 |
_aPBM _2thema |
|
| 072 | 7 |
_aPBV _2thema |
|
| 072 | 7 |
_aPHU _2thema |
|
| 072 | 7 |
_aPBD _2thema |
|
| 072 | 7 |
_aPBW _2thema |
|
| 072 | 7 |
_aPBM _2bic |
|
| 072 | 7 |
_aPBV _2bic |
|
| 072 | 7 |
_aPHU _2bic |
|
| 072 | 7 |
_aPBD _2bic |
|
| 072 | 7 |
_aPBW _2bic |
|
| 072 | 7 |
_aMAT012000 _2bisac |
|
| 072 | 7 |
_aMAT036000 _2bisac |
|
| 072 | 7 |
_aMAT004000 _2bisac |
|
| 072 | 7 |
_aMAT000000 _2bisac |
|
| 072 | 7 |
_a514.2242 _2bisac |
|
| 100 | 1 | _aAlexander Stoimenow | |
| 245 | 1 | 0 | _aDiagram Genus, Generators, and Applications |
| 250 | _a1 | ||
| 260 |
_bChapman and Hall/CRC _c20180903 |
||
| 300 | _a192 p | ||
| 520 | _bIn knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. The book begins with an introduction to the origin of knot tables and the background details, including diagrams, surfaces, and invariants. It then derives a new description of generators using Hirasawa’s algorithm and extends this description to push the compilation of knot generators one genus further to complete their classification for genus 4. Subsequent chapters cover applications of the genus 4 classification, including the braid index, polynomial invariants, hyperbolic volume, and Vassiliev invariants. The final chapter presents further research related to generators, which helps readers see applications of generators in a broader context. | ||
| 999 |
_c4427 _d4427 |
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