書誌事項

Aspects of low dimensional manifolds

edited by Y. Matsumoto, S. Morita

(Advanced studies in pure mathematics, 20)

Published for the Mathematical Society of Japan by Kinokuniya Co., c1992

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注記

Includes bibliographical references

"Related to this volume, three symposiums were held during 1987-1989, which were supported by the Grant-in-Aid for Cooperative Research, the Ministry of Education, Science and Culture, Japan."-Pref.

内容説明・目次

内容説明

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.

目次

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

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