02804nam 2200577 450 991078874520332120170816143240.01-4704-0489-3(CKB)3360000000465069(EBL)3114202(SSID)ssj0000889243(PQKBManifestationID)11521355(PQKBTitleCode)TC0000889243(PQKBWorkID)10876426(PQKB)10770089(MiAaPQ)EBC3114202(RPAM)14818796(PPN)195417747(EXLCZ)99336000000046506920150417h20072007 uy 0engur|n|---|||||txtccrThe structure of the rational concordance group of knots /Jae Choon ChaProvidence, Rhode Island :American Mathematical Society,2007.©20071 online resource (114 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 189, Number 885'Volume 189, Number 885 (second of 4 numbers)."0-8218-3993-4 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 189, Number 885.Low-dimensional topologyKnot theoryConcordances (Topology)Low-dimensional topology.Knot theory.Concordances (Topology)514/.22Cha Jae Choon1971-1567054MiAaPQMiAaPQMiAaPQBOOK9910788745203321The structure of the rational concordance group of knots3838152UNINA