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arxiv: 1311.1782 · v2 · pith:RDLAOVSDnew · submitted 2013-11-07 · 🧮 math.AG

Relations on Mbar_(g,n) via orbifold stable maps

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keywords mapsmbarrelationsstablemodulispacebundlecertain
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Using the equivariant virtual cycle of the moduli space of stable maps to [C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a certain vector bundle over the moduli space of stable maps to BZ_r, we derive relations in the Chow ring of Mbar_{g,n}(BZ_r,0). These push forward to yield tautological relations on Mbar_{g,n}.

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