7 papers
Virtual volumes of strata of meromorphic differentials with simple poles
Adrien Sauvaget
We work over strata of meromorphic differentials with poles of order 1, and on affine subspaces defined by linear conditions on the residues. We propose a definition of the volume…
Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
Xavier Blot, Paolo Rossi, Adrien Sauvaget
In [arXiv:2408.13806], two families of classical and quantum integrable hierarchies associated to arbitrary Cohomological Field Theories (CohFTs) were introduced: the meromorphic d…
DR cycles and strata of differentials with spin parity
David Holmes, Georgios Politopoulos, Adrien Sauvaget
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. Furtherm…
The Spin Gromov-Witten/Hurwitz correspondence for
Alessandro Giacchetto, Reinier Kramer, Danilo LewaÅski +1
We study the spin Gromov-Witten (GW) theory of . Using the standard torus action on , we prove that the associated equivariant potential can be expresse…
Integrals of -classes on twisted double ramification cycles and spaces of differentials
Matteo Costantini, Adrien Sauvaget, Johannes Schmitt
We prove a closed formula for the integral of a power of a single -class on strata of -differentials. In many cases, these integrals correspond to intersection numbers on tw…
The master relation for polynomiality and equivalences of integrable systems
Xavier Blot, Adrien Sauvaget, Sergey Shadrin
We prove the so-called master relation in the tautological ring of the moduli space of curves that implies polynomial properties of the Dubrovin-Zhang hierarchies associated to dif…