This volume contains ten original papers written by leading experts in various areas of low-dimensional topology. The topics covered here are among those showing the most rapid progress in topology today: knots and links, three-dimensional hyperbolic geometry, conformally flat structures on three-manifolds, Floer homology, and the geometry and topology of four-manifolds. Offering both original results and up-to-date survey papers, Aspects of Low Dimensional Manifolds will interest mathematicians, physicists, graduate students, and others seeking a good introduction to the field.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Mathematicians, physicists and graduate students seeking a good introduction to the field.

Table of Contents

• K. Fukaya -- Floer homology for oriented $3$-manifolds
• S. Kojima -- Polyhedral decomposition of hyperbolic $3$-manifolds with totally geodesic boundary
• M. Kouno, K. Motegi, and T. Shibuya -- Behavior of knots under twisting
• T. Kanenobu and T. Sumi -- Polynomial invariants of $2$-bridge links through $20$ crossings
• J. Murakami -- Invariants of spatial graphs
• S. Matsumoto -- Foundations of flat conformal structure
• Y. Kamishima and S. Tan -- Deformation spaces on geometric structures
• O. Saeki -- On $4$-manifolds homotopy equivalent to the $2$-sphere
• M. Ue -- On the deformations of the geometric structures on the Seifert $4$-manifolds
• T. Matumoto -- Homologically trivial smooth involutions on $K3$-surfaces