Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heegaard Floer homology and several families of Brieskorn spheres   Ozsv\'ath and Szab\'o gave a combinatorial description for the Heegaard Floer
homology of boundaries of certain negative-definite plumbings. N\'emethi
constructed a remarkable algorithm for executing these computations for
almost-rational plumbings, and his work gives a formula computing the
invariants for the Brieskorn homology spheres -{\Sigma} (p,q,pqn + 1). Here we
give a formula for HF^{+}(-{\Sigma}(p,q,pqn-1)), generalizing the one for the
n=1 case given by Borodzik and N\'emethi. We also compute HF^{+} for the
families -{\Sigma}(2,5,k) and -{\Sigma}(2,7,k).

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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: eess