Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kauffman skein module of the connected sum of 3-manifolds   Let k be an integral domain containing the invertible elements \alpha, s and
\frac{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, we give an ``idempotent-like'' basis for the
Kauffman skein module of handlebodies. Gilmer and Zhong have studied the
Homflypt skein modules of a connected sum of two 3-manifolds, here we study the
case for the Kauffman skein module and show that K(M_1 # M_2) is isomorphic to
K(M_1) tensor K(M_2) over a certain localized ring, where M_1 # M_2 is the
connected sum of two manifolds M_1 and M_2.

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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ