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2018 Pixton's double ramification cycle relations
Emily Clader, Felix Janda
Geom. Topol. 22(2): 1069-1108 (2018). DOI: 10.2140/gt.2018.22.1069

Abstract

We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on M̄g,n vanishes in codimension beyond g. This yields a collection of tautological relations in the Chow ring of M̄g,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. "Pixton's double ramification cycle relations." Geom. Topol. 22 (2) 1069 - 1108, 2018. https://doi.org/10.2140/gt.2018.22.1069

Information

Received: 14 June 2016; Revised: 20 April 2017; Accepted: 24 May 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828604
MathSciNet: MR3748684
Digital Object Identifier: 10.2140/gt.2018.22.1069

Subjects:
Primary: 14H10
Secondary: 14N35

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.22 • No. 2 • 2018
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