Geometry & Topology
- Geom. Topol.
- Volume 22, Number 2 (2018), 1069-1108.
Pixton's double ramification cycle relations
We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on vanishes in codimension beyond . This yields a collection of tautological relations in the Chow ring of . We describe, furthermore, how these relations can be obtained from Pixton’s –spin relations via localization on the moduli space of stable maps to an orbifold projective line.
Geom. Topol., Volume 22, Number 2 (2018), 1069-1108.
Received: 14 June 2016
Revised: 20 April 2017
Accepted: 24 May 2017
First available in Project Euclid: 1 February 2018
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Clader, Emily; Janda, Felix. Pixton's double ramification cycle relations. Geom. Topol. 22 (2018), no. 2, 1069--1108. doi:10.2140/gt.2018.22.1069. https://projecteuclid.org/euclid.gt/1517454115