A Study of Braids - nieuw boek
ISBN: 9789401593199
In Chapter 6, we describe the concept of braid equivalence from the topological point of view.This will lead us to a new concept braid homotopy that is discussed fully in the next chapter… Meer...
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A Study of Braids - nieuw boek
ISBN: 9789401593199
In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapte… Meer...
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A Study of Braids - nieuw boek
ISBN: 9789401593199
Mathematics; Algebraic Topology; Group Theory and Generalizations; Manifolds and Cell Complexes (incl. Diff.Topology); Geometry; Discrete Mathematics in Computer Science Group theory, Hom… Meer...
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A Study of Braids - nieuw boek
ISBN: 9789401593199
; PDF \ V P Bykov; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, World Scientific Publishing Company
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ISBN: 9789401593199
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A Study of Braids - nieuw boek
ISBN: 9789401593199
In Chapter 6, we describe the concept of braid equivalence from the topological point of view.This will lead us to a new concept braid homotopy that is discussed fully in the next chapter… Meer...
Kunio Murasugi; B. Kurpita:
A Study of Braids - nieuw boekISBN: 9789401593199
In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapte… Meer...
A Study of Braids - nieuw boek
ISBN: 9789401593199
Mathematics; Algebraic Topology; Group Theory and Generalizations; Manifolds and Cell Complexes (incl. Diff.Topology); Geometry; Discrete Mathematics in Computer Science Group theory, Hom… Meer...
A Study of Braids - nieuw boek
ISBN: 9789401593199
; PDF \ V P Bykov; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, World Scientific Publishing Company
ISBN: 9789401593199
eBooks > Belletristik > Erzählungen
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Gedetalleerde informatie over het boek. - Study of Braids
EAN (ISBN-13): 9789401593199
Verschijningsjaar: 2012
Uitgever: Springer
Boek bevindt zich in het datenbestand sinds 2016-05-10T20:25:06+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-07-04T19:18:19+02:00 (Amsterdam)
ISBN/EAN: 9789401593199
ISBN - alternatieve schrijfwijzen:
978-94-015-9319-9
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: kunio
Gegevens van de uitgever
Auteur: Kunio Murasugi; B. Kurpita
Titel: Mathematics and Its Applications; A Study of Braids
Uitgeverij: Springer; Springer Netherland
277 Bladzijden
Verschijningsjaar: 2012-12-06
Dordrecht; NL
Taal: Engels
53,49 € (DE)
55,00 € (AT)
59,00 CHF (CH)
Available
X, 277 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Algebraische Topologie; Verstehen; Group theory; Homotopy; Mathematica; algebra; mathematics; C; Algebraic Topology; Group Theory and Generalizations; Manifolds and Cell Complexes; Geometry; Discrete Mathematics in Computer Science; Mathematics and Statistics; Gruppen und Gruppentheorie; Topologie; Geometrie; Mathematik für Informatiker; Diskrete Mathematik; BB
1. Introduction & Foundations.- 1. Various types of braids.- 2. A definition of a braid.- 3. An elementary move and braid equivalence.- 4. Braid projection.- 5. Braid permutation, pure braid.- 2. The Braid Group.- 1. Defunition of the braid group.- 2. A presentation for the braid group.- 3. The completeness of the relations.- 4. Elementary properties of the braid group.- 5. A braid invariant.- 3. Word Problem.- 1. Word problem for the braid group.- 2. A solution of the word problem.- 3. A presentation for the pure n-braid group.- 4. Special types of braids.- 1. Mexicar plaits.- 2. Generators of the Mexican plaits.- 3. An algorithm for Mexican plaits.- 4. Examples of the use of the algorithm.- 5. Quotient groups of the braid group.- 1. Sywumetric group and the braid group.- 2. Platoric solids and quotient groups of Bn.- 3. Finite quotient groups of B3.- 4. The firite quotient group B4(3).- 5. The finite quotient group B5(3).- 6. Isotopy of braids.- 1. Equivalence and isotopy.- 2. Words.- 3. Several interpretations of equivalence.- 4. Milnor invariant.- 7. Homotopy braid theory.- 1. Homotopy.- 2. Tangles and homotopy.- 3. Homotopy braid group.- 4. Homotopy braid invariants.- 5. Tangles and braids.- 8. Grom knots to braids.- 1. Knot theory — a quick review.- 2. Quasi-braids.- 3. Braided links.- 4. Alexander’s theorem.- 5. Knot invariants via braid invariants.- 9. Markov’s theorem.- 1. A theorem due to Markov.- 2. Proof of Markov’s theorem — I.- 3. Proof of Markov’s theorem — II.- 4. Applications.- 10. Knot invariants.- 1. Burau representation.- 2. Alexander polynomial.- 3. Jones polynomial.- 4. Alexander versus Jones.- 11. Braid groups on surfaces.- 1. Divac’s Problem.- 2. Braid group on S2.- 3. Braid group on the surface F.- 4. Braid group on P2.- 5. Braidgroup on T2.- 6. Word problem for Bn(S2).- 12. Algebraic equations.- 1. Configuration spaces.- 2. Complete solvability.- Appendix I — Group theory.- 1. Equivalence relation.- 2. Groups and a bit of ring theory.- 3. Free group.- 4. Presentations of groups.- 5. Word problem.- 6. Reidemeister-Schreier method, presentation of a subgroup.- 7. Triangle groups.- Appendix II — Topology.- 1. Fundamental concepts of Topology.- 2. Homotopy.- 3. Fundamental group.- 4. Manifolds.- Appendix III — Symplectic group.- 1. Symplectic group.- Appendix IV.- Appendix V.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9789048152452 A Study of Braids (Mathematics and Its Applications, 484, Band 484) (Murasugi, Kunio)
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