DR cycles and strata of differentials with spin parity

2025/09/03 by Holmes, David, Politopoulos, Georgios, Sauvaget, Adrien
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.03650

Abstract

We study classes of strata of differentials with fixed spin parity in the Chow ring of moduli spaces of curves. We show that these classes are tautological and computable. Furthermore, we establish the refined DR cycle formula for these classes.

Related

• An algorithm to compute fundamental classes of spin components of strata of differentials
• Cycles on the Moduli Space of Abelian Varieties
• Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
• Computation of λ-classes via strata of differentials
• Integrals of ψ-classes on twisted double ramification cycles and spaces of differentials