Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial families of tautological classes on $\mathcal{M}_{g,n}^{rt}$   We study classes $P_{g,T}(\alpha;\beta)$ on the moduli space of stable, genus
g curves with rational tails defined by pushing forward the virtual fundamental
classes of spaces of relative stable maps to an unparameterized projective
line. A comparison with classes $Q_{g,T}$ arising from sections of the
universal Jacobian shows the classes $P_{g,T}(\alpha;\beta)$ are polynomial in
the parts of the partitions indexing the special ramification data. Virtual
localization on moduli spaces of relative stable maps gives sufficient
relations to compute the coefficients of these polynomials in various cases.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess