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arXiv · 1311.1782

Relations on Mbar_{g,n} via orbifold stable maps

Emily Clader
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Abstract

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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Emily Clader. 2013-11-07. Relations on Mbar_{g,n} via orbifold stable maps. https://arxiv.org/abs/1311.1782

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