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arxiv: 1601.02871 · v3 · pith:YHQKJR2Inew · submitted 2016-01-12 · 🧮 math.AG

Pixton's double ramification cycle relations

classification 🧮 math.AG
keywords relationspixtoncycledoublembarramificationbeyondchow
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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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