Introduction to Vassiliev knot invariants / S. Chmutov, S. Duzhin, J. Mostovoy
| データ種別 | 電子書籍 |
|---|---|
| 出版情報 | New York : Cambridge University Press , 2012 |
書誌詳細を非表示
| 書誌ID | OB00759889 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Machine generated contents note: 1. Knots and their relatives; 2. Knot invariants; 3. Finite type invariants; 4. Chord diagrams; 5. Jacobi diagrams; 6. Lie algebra weight systems; 7. Algebra of 3-graphs; 8. The Kontsevich integral; 9. Framed knots and cabling operations; 10. The Drinfeld associator; 11. The Kontsevich integral: advanced features; 12. Braids and string links; 13. Gauss diagrams; 14. Miscellany; 15. The space of all knots; Appendix; References; Notations; Index. License restrictions may limit access Summary: "With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. The book begins with a basic and informal introduction to knot theory, giving many examples of knot invariants before the class of Vassiliev invariants is introduced.This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots"-- Provided by publisher |
| 著者標目 | *Chmutov, S (Sergei) 1959- Duzhin, S. V (Sergeĭ Vasilʹevich) 1956- Mostovoy, J (Jacob) |
| 件 名 | LCSH:Knot theory LCSH:Invariants FREE:MATHEMATICS / Topology |
| 分 類 | LCC:QA612.2 DC23:514/.2242 |
| 巻冊次 | ISBN:9781107020832 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
[BOOKデータASPサービス] あらすじ／目次
類似資料
この資料の利用統計
このページへのアクセス回数：5回
※2020年8月16日以降