Knots, Groups, and 3-manifolds: Papers Dedicated to the Memory of R. H. FoxRalph Hartzler Fox, Lee Paul Neuwirth Princeton University Press, 1975/08/21 - 335 ページ 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. |
目次
SYMMETRIC FIBERED LINKS | 5 |
KNOT MODULES | 25 |
THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS | 35 |
OCTAHEDRAL KNOT COVERS | 47 |
SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS | 51 |
GROUPS AND MANIFOLDS CHARACTERIZING LINKS | 63 |
Group Theory | 85 |
HNN GROUPS AND GROUPS WITH CENTER | 87 |
KNOTLIKE GROUPS | 119 |
3Dimensional Manifolds | 135 |
ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED ORIENTABLE 3MANIFOLDS | 137 |
BRANCHED CYCLIC COVERINGS | 165 |
ON THE 3DIMENSIONAL BRIESKORN MANIFOLDS Mpqr | 175 |
SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S³ | 227 |
PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES | 261 |
INFINITELY DIVISIBLE ELEMENTS IN 3MANIFOLD GROUPS | 293 |