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＜電子ブック＞
Link Theory in Manifolds / by Uwe Kaiser
(Lecture Notes in Mathematics. ISSN:16179692 ; 1669)

版	1st ed. 1997.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	XIV, 170 p : online resource
著者標目	*Kaiser, Uwe author SpringerLink (Online service)
件　名	LCSH:Algebraic topology LCSH:Manifolds (Mathematics) LCSH:Topology FREE:Algebraic Topology FREE:Manifolds and Cell Complexes FREE:Topology
一般注記	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 HTTP:URL=https://doi.org/10.1007/BFb0092686

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