Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hook, line and sinker: a bijective proof of the skew shifted hook-length
  formula   A few years ago, Naruse presented a beautiful cancellation-free hook-length
formula for skew shapes, both straight and shifted. The formula involves a sum
over objects called \emph{excited diagrams}, and the term corresponding to each
excited diagram has hook lengths in the denominator, like the classical
hook-length formula due to Frame, Robinson and Thrall. Recently, the formula
for skew straight shapes was proved via a simple bumping algorithm. The aim of
this paper is to extend this result to skew shifted shapes. Since straight skew
shapes are special cases of skew shifted shapes, this is a bijection that
proves the whole family of hook-length formulas, and is also the simplest known
bijective proof for shifted (non-skew) shapes. A weighted generalization of
Naruse's formula is also presented.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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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: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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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: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas