KAUFFMAN BRACKET SKEIN MODULE OF THE CONNECTED SUM OF TWO PROJECTIVE SPACES
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.
متن کاملOn the Kauffman Bracket Skein Module of the Quaternionic Manifold
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A ±1 ] localized by inverting all the cyclotomic polynomials. We prove that the skein module is spanned by five elements. Using the quantum invariants of these skein elements and the Z 2-homology of the manifold, we determine that they are linearly independent.
متن کاملThe Kauffman Skein Module of the Connected Sum of 3-manifolds
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...
متن کاملFundamentals of Kauffman bracket skein modules
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...
متن کاملON THE KAUFFMAN BRACKET SKEIN MODULE OF SURGERY ON A (2, 2b) TORUS LINK
We show that the Kauffman bracket skein modules of certain manifolds obtained from integral surgery on a (2, 2b) torus link are finitely generated, and list the generators for select examples.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2011
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216511008905