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On Seifert Circles and Functors for Tangles

H. C. Lee

出版	Kyoto University. Research Institute for Mathematical Sciences [RIMS], 1991
URL	http://books.google.com.hk/books?id=A0hQHAAACAAJ&hl=&source=gbs_api

註釋

Abstract: "The properties of the Seifert circles in an oriented tangle diagram are exploited to prove a theorem that asserts that every (n, n)-tangle diagram is isotopic to a partially closed braid, and a second one that facilitates the assignment of wrong-way edges, one on each Seifert circle, in a tangle diagram. These result [sic] are used to identify the structure of an abstract algebra on which a functor for the isotopy of general tangles may be constructed. Any finite dimensional irreducible representation of a quasitriangular Hopf algebra is a realization of this algebra."