The structure of the rational concordance group of knots
著者
書誌事項
The structure of the rational concordance group of knots
（Memoirs of the American Mathematical Society, no. 885）
American Mathematical Society, 2007
大学図書館所蔵 件 / 全14件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"September 2007, volume 189, number 885 (second of 4 numbers)"
Bibliography: p. 93-95
内容説明・目次
内容説明
The author studies the group of rational concordance classes of codimension two knots in rational homology spheres. He gives a full calculation of its algebraic theory by developing a complete set of new invariants. For computation, he relates these invariants with limiting behaviour of the Artin reciprocity over an infinite tower of number fields and analyzes it using tools from algebraic number theory. In higher dimensions it classifies the rational concordance group of knots whose ambient space satisfies a certain cobordism theoretic condition. In particular, he constructs infinitely many torsion elements. He shows that the structure of the rational concordance group is much more complicated than the integral concordance group from a topological viewpoint. He also investigates the structure peculiar to knots in rational homology 3-spheres. To obtain further nontrivial obstructions in this dimension, he develops a technique of controlling a certain limit of the von Neumann $L2$-signature invarian
目次
Introduction Rational knots and Seifert matrices Algebraic structure of $\mathcal{G}_n$ Geometric structure of $\mathcal{C}_n$ Rational knots in dimension three Bibliography.
「Nielsen BookData」 より
