1.

Record Nr.

UNINA9910481047703321

Autore

Cha Jae Choon <1971->

Titolo

The structure of the rational concordance group of knots / / Jae Choon Cha

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2007

©2007

ISBN

1-4704-0489-3

Descrizione fisica

1 online resource (114 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 189, Number 885

Disciplina

514/.22

Soggetti

Low-dimensional topology

Knot theory

Concordances (Topology)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

'Volume 189, Number 885 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""

""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography""