Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Category O and sl(k) link invariants   We construct a functor valued invariant of oriented tangles on certain
singular blocks of category O. Parabolic subcategories of these blocks
categorify tensor products of various fundamental sl(k) representations.
Projective functors restricted to these categories give rise to a functorial
action of the Lie algebra. On the derived category, Zuckerman functors
categorify sl(k)- homomorphisms. Cones of natural transformations between the
identity functor and Zuckerman functors are assigned to crossings and this
assignment satisfies the appropriate relations. On the Grothendieck group, the
functors assigned to the crossings satisfy the sl(k)- specialization of the two
variable HOMFLYPT polynomial. For the special case of links, we get a
homological invariant.

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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-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: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat