Épijournal de Géométrie Algébrique (Apr 2022)

A conjectural formula for $DR_g(a,-a) \lambda_g$

  • Alexandr Buryak,
  • Francisco Hernández Iglesias,
  • Sergey Shadrin

DOI
https://doi.org/10.46298/epiga.2022.8595
Journal volume & issue
Vol. Volume 6

Abstract

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We propose a conjectural formula for $DR_g(a,-a) \lambda_g$ and check all its expected properties. Our formula refines the one point case of a similar conjecture made by the first named author in collaboration with Gu\'er\'e and Rossi, and we prove that the two conjectures are in fact equivalent, though in a quite non-trivial way.

Keywords