Kauffman bracket skein module of a connected sum of 3-manifolds
نویسندگان
چکیده
منابع مشابه
Kauffman bracket skein module of a connected sum of 3-manifolds
We show that for the Kauffman bracket skein module over the field of rational functions in variable A, the module of a connected sum of 3-manifolds is the tensor product of modules of the individual manifolds.
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Let k be an integral domain containing the invertible elements α, s and 1 s−s −1 . If M is an oriented 3-manifold, let K(M) denote the Kauffman skein module of M over k. Based on the work on Birman-Murakami-Wenzl algebra by Beliakova and Blanchet [2], we give an “idempotent-like” basis for the Kauffman skein module of handlebodies. Gilmer and Zhong [6] have studied the Homflypt skein modules of...
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متن کاملThe Homflypt Skein Module of a Connected Sum of 3-manifolds
Abstract. If M is a compact oriented 3-manifold, let S(M) denote the Homflypt skein module of M. We show that S(M1#M2) is isomorphic to S(M1)⊗ S(M2) modulo torsion. In fact, we show that S(M1#M2) is isomorphic to S(M1) ⊗ S(M2) if we are working over a certain localized ring. We show a similar result holds for relative skein modules. If M contains a separating 2-sphere, we give conditions under ...
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Skein modules are the main objects of an algebraic topology based on knots (or position). In the same spirit as Leibniz we would call our approach algebra situs. When looking at the panorama of skein modules1, we see, past the rolling hills of homologies and homotopies, distant mountains the Kauffman bracket skein module, and farther off in the distance skein modules based on other quantum inva...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2000
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s002290050014