Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting torsion in skein modules using Hochschild homology   Given a Heegaard splitting of a closed 3-manifold, the skein modules of the
two handlebodies are modules over the skein algebra of their common boundary
surface. The zeroth Hochschild homology of the skein algebra of a surface with
coefficients in the tensor product of the skein modules of two handlebodies is
interpreted as the skein module of the 3-manifold obtained by gluing the two
handlebodies together along this surface. A spectral sequence associated to the
Hochschild complex is constructed and conditions are given for the existence of
algebraic torsion in the skein module of this 3-manifold.

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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat