WorldCat Identities

Kawauchi, Akio 1948-

Overview
Works: 23 works in 68 publications in 3 languages and 1,131 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Contributor
Publication Timeline
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Most widely held works by Akio Kawauchi
Teaching and learning of knot theory in school mathematics by Akio Kawauchi( )

13 editions published between 2011 and 2012 in English and held by 465 WorldCat member libraries worldwide

This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching
A survey of knot theory by Akio Kawauchi( Book )

16 editions published between 1995 and 1996 in English and held by 438 WorldCat member libraries worldwide

"Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples."--Publisher description
Knots 90 : proceedings of the International Conference on Knot Theory and Related Topics, held in Osaka (Japan), August 15-19, 1990 by Akio Kawauchi( Book )

13 editions published between 1992 and 1993 in English and German and held by 190 WorldCat member libraries worldwide

Proceedings of the International Conference on Knot Theory and Related Topics : held in Osaka (Japan), August 15-19, 1990 by International Conference on Knot Theory and Related Topics( Book )

1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide

Senkei daisū kara homorojī e( Book )

2 editions published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide

Musubime riron to gēmu : ryōiki sentaku gēmu de miru sūgaku no sekai by Akio Kawauchi( Book )

2 editions published in 2013 in Japanese and held by 4 WorldCat member libraries worldwide

Intelligence of Low Dimensional Topology 2006 by J. Scott Carter( Book )

1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide

Ford domain of a certain hyperbolic 3-manifold whose boundary consists of a pair of once-punctured tori -- Cohomology for self-distributivity in coalgebras -- Toward an equivariant Khovanov homology -- Milnor numbers and the self delta classification of 2-string links -- Some estimates of the Morse-Novikov numbers for knots and links -- Obtaining string-minimizing, length-minimizing braid words for 2-bridge links -- Smoothing resolution for the Alexander-Conway polynomial -- Quandle cocycle invariants of torus links -- Prime knots with arc index up to 10 -- p-adic framed braids and p-adic Markov traces -- Reidemeister torsion and Seifert surgeries on knots in homology 3-spheres -- Miyazawa polynomials of virtual knots and virtual crossing numbers -- Quandles with good involutions, their homologies and knot invariants -- Finite type invariants of order 4 for 2-component links -- The Jones representation of genus 1 -- Quantum topology and quantum information -- The L-move and virtual braids -- Limits of the HOMFLY polynomials of the figure-eight knot -- Conjectures on the braid index and the algebraic crossing number -- On the surface-link groups -- Enumerating 3-manifolds by a canonical order -- On the existence of a surjective homomorphism between knot groups -- The volume of a hyperbolic simplex and iterated integrals -- Invariants of surface links in R4 via classical link invariants -- Surgery along Brunnian links and finite type invariants of integral homology spheres -- The Yamada polynomial for virtual graphs -- Arithmetic topology after Hida theory -- Gap of the depths of leaves of foliations -- Complex analytic realization of links -- Achirality of spatial graphs and the Simon invariant -- The configuration space of a spider -- Equivariant quantum invariants of the infinite cyclic covers of knot complements -- What is a welded link? -- Higher-order Alexander invariants for homology cobordisms of a surface -- Epimorphisms between 2-bridge knot groups from the view point of Markoff maps -- Sheet numbers and cocycle invariants of surface-knots -- An infinite sequence of non-conjugate 4-braids representing the same knot of braid index 4 -- On tabulation of mutants -- A note on CI-moves -- On applications of correction term to lens space -- The Casson-Walker invariant and some strongly periodic link -- Free genus one knots with large Haken numbers -- Yamada polynomial and Khovanov cohomology -- A note on limit values of the twisted Alexander invariant associated to knots -- Overtwisted open books and Stallings twist -- 3-Manifolds and 4-dimensional surgery -- Cell-complexes for t-minimal surface diagrams with 4 triple points -- An exotic rational surface without 1- or 3-handle
Knot theory for scientific objects : proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka (Japan), March 8-10, 2006 by International Workshop on Knot Theory for Scientific Objects( Book )

1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide

Rekuchā musubime riron( Book )

2 editions published in 2007 in Japanese and held by 2 WorldCat member libraries worldwide

Musubime no sūgaku kyōiku eno dōnyū : shōgakusei chūgakusei kōkōsei o taishō to shite( Book )

1 edition published in 2005 in Japanese and held by 2 WorldCat member libraries worldwide

Knots and physics by Louis H Kauffman( Book )

2 editions published in 1995 in Japanese and held by 2 WorldCat member libraries worldwide

An introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics
Musubime riron( Book )

2 editions published in 1990 in Japanese and held by 2 WorldCat member libraries worldwide

Musubime no sūgaku kyōiku eno dōnyū : Shōgakusei chūgakusei kōkōsei o taishō to shite( Book )

1 edition published in 2009 in Japanese and held by 1 WorldCat member library worldwide

Knotting problem ni tsuite( Book )

2 editions published in 1974 in Japanese and held by 1 WorldCat member library worldwide

Musubime no riron( Book )

1 edition published in 2015 in Japanese and held by 1 WorldCat member library worldwide

Musubime no sūgaku kyōiku eno dōnyū : shōgakusei chūgakusei kōkōsei o taishō to shite 5( Book )

1 edition published in 2017 in Japanese and held by 1 WorldCat member library worldwide

Knots 90 : proceedings of the international conference on knot theory and related topics, Osaka, August 15-19, 1990( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

Knots 90 : International conference on knot theory and related topics : Papers( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

Knot 90 : proceedings of the International Conference on Knot theory and related topics : Osaka, August 15-19, 1990 by International Conference on Knot Theory and Related Topics( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

 
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A survey of knot theory
Covers
Intelligence of Low Dimensional Topology 2006
Alternative Names
Akio Kawauchi

Gawauchi, Akio 1948-

Kawauchi, Akio

Kawauchi, Akio 1948-

카와우치 아키오 1948-

하내명부 1948-

カワウチ, アキオ

カワウチ, アキオ 1948-

河內明夫 1948-

Languages
English (47)

Japanese (17)

German (1)