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arXiv · 1601.02871

Pixton's double ramification cycle relations

Emily Clader·Felix Janda
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Abstract

We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on Mbar_{g,n} vanishes in codimension beyond g. This yields a collection of tautological relations in the Chow ring of Mbar_{g,n}. We describe, furthermore, how these relations can be obtained from Pixton's 3-spin relations via localization on the moduli space of stable maps to an orbifold projective line.

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Emily Clader, Felix Janda. 2016-01-12. Pixton's double ramification cycle relations. https://doi.org/10.2140/gt.2018.22.1069

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