Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth

• Autore: Neuwirth Lee Paul
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1975
• Descrizione fisica: 1 online resource (352 pages) : illustrations
• Disciplina: 514.2
• Soggetto topico: Knot theory; Group theory; Three-manifolds (Topology)
• Soggetto non controllato: 3-manifold; 3-sphere; Additive group; Alexander duality; Algebraic equation; Algebraic surface; Algebraic variety; Automorphic form; Automorphism; Big O notation; Bilinear form; Borromean rings; Boundary (topology); Braid group; Cartesian product; Central series; Chain rule; Characteristic polynomial; Coefficient; Cohomological dimension; Commutative ring; Commutator subgroup; Complex Lie group; Complex coordinate space; Complex manifold; Complex number; Conjugacy class; Connected sum; Coprime integers; Coset; Counterexample; Cyclic group; Dedekind domain; Diagram (category theory); Diffeomorphism; Disjoint union; Divisibility rule; Double coset; Equation; Equivalence class; Euler characteristic; Fiber bundle; Finite group; Fundamental group; Generating set of a group; Graded ring; Graph product; Group ring; Group theory; Groupoid; Heegaard splitting; Holomorphic function; Homeomorphism; Homological algebra; Homology (mathematics); Homology sphere; Homomorphism; Homotopy group; Homotopy sphere; Homotopy; Hurewicz theorem; Infimum and supremum; Integer matrix; Integer; Intersection number (graph theory); Intersection theory; Knot group; Knot polynomial; Loop space; Main diagonal; Manifold; Mapping cylinder; Mathematical induction; Meromorphic function; Monodromy; Monomorphism; Multiplicative group; Permutation; Poincaré conjecture; Principal ideal domain; Proportionality (mathematics); Quotient space (topology); Riemann sphere; Riemann surface; Seifert fiber space; Simplicial category; Special case; Spectral sequence; Subgroup; Submanifold; Surjective function; Symmetric group; Symplectic matrix; Theorem; Three-dimensional space (mathematics); Topology; Torus knot; Triangle group; Variable (mathematics); Weak equivalence (homotopy theory)
• Persona (resp. second.): BirmanJoan S.; CappellSylvain E.; CosseyJohn; GoldsmithDeborah L.; LevineJerome; LomonacoS. J .; MilnorJohn; MontesinosJose M.; NeuwirthL.; PapakyriakopoulosC. D.; PerkoKenneth A.; ShalenPeter B.; ShanesonJulius L.; SmytheN.; StallingsJohn R.; StrasserElvira Rapaport; TrotterH. F .; WhittenWilbur
• Nota di bibliografia: Includes bibliographies.
• Nota di contenuto: Frontmatter -- CONTENTS -- INTRODUCTION / Neuwirth, L. -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS / Goldsmith, Deborah L. -- KNOT MODULES / Levine, Jerome -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS / Lomonaco, S. J . -- OCTAHEDRAL KNOT COVERS / Perko, Kenneth A. -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS / Trotter, H. F . -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS / Whitten, Wilbur -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER / Cossey, John / Smythe, N. -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING / Stallings, John R. -- KNOT-LIKE GROUPS / Strasser, Elvira Rapaport -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS / Birman, Joan S. -- BRANCHED CYCLIC COVERINGS / Cappell, Sylvain E. / Shaneson, Julius L. -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) / Milnor, John -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 / Montesinos, Jose M. -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES / Papakyriakopoulos, C. D. -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS / Shalen, Peter B. -- Backmatter
• Sommario/riassunto: There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends.In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin.Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.
• Titolo autorizzato: Knots, Groups and 3-Manifolds (AM-84), Volume 84
• ISBN: 1-4008-8151-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154752003321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 84.