Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A representation-valued relative Riemann-Hurwitz theorem and the
  Hurwitz-Hodge bundle   We provide a formula describing the G-module structure of the Hurwitz-Hodge
bundle for admissible G-covers in terms of the Hodge bundle of the base curve,
and more generally, for describing the G-module structure of the push-forward
to the base of any sheaf on a family of admissible G-covers. This formula can
be interpreted as a representation-ring-valued relative Riemann-Hurwitz formula
for families of admissible G-covers.

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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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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: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg