The Structure of the Rational Concordance Group of Knots is popular PDF and ePub book, written by Jae Choon Cha in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Structure of the Rational Concordance Group of Knots can be Read Online from any device for your convenience.
The Structure of the Rational Concordance Group of Knots Book PDF Summary
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 $L 2$-signature invariants.
Detail Book of The Structure of the Rational Concordance Group of Knots PDF
- Author : Jae Choon Cha
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821839935
- Genre : Mathematics
- Total Page : 114 pages
- Language : English
- PDF File Size : 18,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Structure of the Rational Concordance Group of Knots by Jae Choon Cha, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.