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Titlebook: Surfaces in 4-Space; Scott Carter,Seiichi Kamada,Masahico Saito Book 2004 Springer-Verlag Berlin Heidelberg 2004 homology.quandle.rack hom

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书目名称Surfaces in 4-Space
编辑Scott Carter,Seiichi Kamada,Masahico Saito
视频video
丛书名称Encyclopaedia of Mathematical Sciences
图书封面Titlebook: Surfaces in 4-Space;  Scott Carter,Seiichi Kamada,Masahico Saito Book 2004 Springer-Verlag Berlin Heidelberg 2004 homology.quandle.rack hom
描述.Surfaces in 4-Space., written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included....This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case....As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics..
出版日期Book 2004
关键词homology; quandle; rack homology; surfaces; topological invariant
版次1
doihttps://doi.org/10.1007/978-3-662-10162-9
isbn_softcover978-3-642-05913-1
isbn_ebook978-3-662-10162-9Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 2004
The information of publication is updating

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https://doi.org/10.1007/978-3-662-10162-9homology; quandle; rack homology; surfaces; topological invariant
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Quandle Cocycle Invariants,nd announced in [CJKLS99]) using cocycles of quandle homology theory. The quandle cocycle knot invariants are natural generalizations of the Dijkgraaf-Witten invariant for 3-manifolds and other state-sum invariants. They have found important topological applications. In this chapter, we review these developments.
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978-3-642-05913-1Springer-Verlag Berlin Heidelberg 2004
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