Link Theory in Manifolds
Kaiser, Uwe.
Link Theory in Manifolds [electronic resource] / by Uwe Kaiser. - XIV, 170 p. online resource. - Lecture Notes in Mathematics, 1669 0075-8434 ; . - Lecture Notes in Mathematics, 1669 .
Link bordism in manifolds -- Enumeration of link bordism in 3-manifolds -- Linking number maps -- Surface structures for links in 3-manifolds -- Link invariants in Betti-trivial 3-manifolds -- Link characteristic and band-operations in Betti-trivial 3-manifolds -- 3-dimensional Betti-trivial submanifolds.
Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.
9783540695462
10.1007/BFb0092686 doi
Algebraic topology.
Cell aggregation--Mathematics.
Topology.
Algebraic Topology.
Manifolds and Cell Complexes (incl. Diff.Topology).
Topology.
QA612-612.8
514.2
Link Theory in Manifolds [electronic resource] / by Uwe Kaiser. - XIV, 170 p. online resource. - Lecture Notes in Mathematics, 1669 0075-8434 ; . - Lecture Notes in Mathematics, 1669 .
Link bordism in manifolds -- Enumeration of link bordism in 3-manifolds -- Linking number maps -- Surface structures for links in 3-manifolds -- Link invariants in Betti-trivial 3-manifolds -- Link characteristic and band-operations in Betti-trivial 3-manifolds -- 3-dimensional Betti-trivial submanifolds.
Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.
9783540695462
10.1007/BFb0092686 doi
Algebraic topology.
Cell aggregation--Mathematics.
Topology.
Algebraic Topology.
Manifolds and Cell Complexes (incl. Diff.Topology).
Topology.
QA612-612.8
514.2