Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guts in Sutured Decompositions and the Thurston Norm   We construct an invariant called guts for second homology classes in
irreducible 3-manifolds with toral boundary and non-degenerate Thurston norm.
We prove that the guts of second homology classes in each Thurston cone are
invariant under a natural condition. We show that the guts of different
homology classes are related by sutured decompositions. As an application, an
invariant of knot complements is given and is computed in a few interesting
cases. Besides, we show that the dimension of a maximal simplex in a Kakimizu
Complex is an invariant.

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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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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: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an