Download Intelligence of Low Dimensional Topology 2006 (Series on by Editors: J. S. Carter, S. Kamada, L. H. Kauffman, A. PDF

By Editors: J. S. Carter, S. Kamada, L. H. Kauffman, A. Kawauchi, and T. Kohno

This quantity gathers the contributions from the foreign convention "Intelligence of Low Dimensional Topology 2006," which came about in Hiroshima in 2006. the purpose of this quantity is to advertise examine in low dimensional topology with the point of interest on knot thought and comparable themes. The papers contain complete stories and a few newest effects.

Show description

Read or Download Intelligence of Low Dimensional Topology 2006 (Series on Knots and Everything) PDF

Similar geometry and topology books

Introduction a la Topologie

Ce cours de topologie a été dispensé en licence à l'Université de Rennes 1 de 1999 à 2002. Toutes les buildings permettant de parler de limite et de continuité sont d'abord dégagées, puis l'utilité de l. a. compacité pour ramener des problèmes de complexité infinie à l'étude d'un nombre fini de cas est explicitée.

Spaces of Constant Curvature

This booklet is the 6th version of the vintage areas of continuing Curvature, first released in 1967, with the former (fifth) version released in 1984. It illustrates the excessive measure of interaction among team idea and geometry. The reader will enjoy the very concise remedies of riemannian and pseudo-riemannian manifolds and their curvatures, of the illustration thought of finite teams, and of symptoms of contemporary development in discrete subgroups of Lie teams.

Additional resources for Intelligence of Low Dimensional Topology 2006 (Series on Knots and Everything)

Example text

42 (2005), 557–572. 6. M. Hirasawa and L. Rudolph, Constructions of Morse maps for knots and links, and upper bounds on the Morse-Novikov number, preprint. 7. T. Kanenobu, The augmentation subgroup of a pretzel link, Math. Sem. Notes Kobe Univ. 7 (1979), 363–384. 8. J. Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. ; University of Tokyo Press, Tokyo 1968. 9. A. Pajitnov, Closed orbits of gradient flows and logarithms of non-abelian Witt vectors, Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday, Part V.

A Morse map f : CL → S 1 is said to be minimal if for each i the number mi (f ) is minimal on the class of all regular maps homotopic to f . Under these notations, the following basic theorem is shown ([10]). 1 ([10]). There is a minimal Morse map satisfying: (1) m0 (f ) = m3 (f ) = 0; March 4, 2007 11:41 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 36 (2) All critical values of the same index coincide; (3) f −1 (x) is a Seifert surface of L for any regular value x. 1 is said to be moderate.

See Fig. 2. ) be an arc properly embedded in M as illustrated in Fig. 2, and set M = M − IntN (α1 ∪ α2 ). Then we may March 4, 2007 11:41 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 39 regarded (M , γ) as a sutured manifold such that M is homeomorphic to D2 × S 1 . By the product decomposition as in Fig. 1, we have (M , γ) is a product sutured manifold. 1. Since it is known that L is not fibred, we have MN (L) = 2 × h(R) = 2. α1 R+(γ) γ γ R-(γ) s(γ) R-(γ) α2 Fig. 2. s(γ) D D s(γ) s(γ') M' M'' Fig.

Download PDF sample

Rated 4.61 of 5 – based on 49 votes