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- W2949083672 abstract "Let k be a subring of the field of rational functions in alpha, s which contains alpha^{1}, alpha^{-1}, s^{1}, s^{-1}, . Let M be a compact oriented 3-manifold, and let K(M) denote the Kauffman skein module of M over k. Then K(M) is the free k-module generated by isotopy classes of framed links in M modulo the Kauffman skein relations. In the case of k={Q}(alpha, s), the field of rational functions in alpha, s, we give a basis for the Kauffman skein module of the solid torus and a basis for the relative Kauffman skein module of the solid torus with two points on the boundary. We then show that K(S^{1} times S^2) is generated by the empty link, i.e., K(S^{1} times S^2)=k." @default.
- W2949083672 created "2019-06-27" @default.
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- W2949083672 date "2001-10-18" @default.
- W2949083672 modified "2023-09-27" @default.
- W2949083672 title "On the Kauffman skein modules" @default.
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