45 citations · 100 across the 17 of their papers we have counts for
19 papers
Euler characteristics of strata of -differentials
Matteo Costantini, Alessandro Giacchetto, Martin Möller +2
We compute the orbifold Euler characteristics of strata of -differentials on the moduli space of smooth pointed curves. Our main result is a closed coefficient-extraction formul…
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 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…
A flat perspective on moduli spaces of hyperbolic surfaces
Adrien Sauvaget
Volumes of moduli spaces of hyperbolic cone surfaces were previously defined and computed when the angles of the cone singularities are at most 2pi. We propose a general definition…
Cylinder counts and spin refinement of area Siegel-Veech constants
Jan-Willem van Ittersum, Adrien Sauvaget
We study the area Siegel-Veech constants of components of strata of abelian differentials with even or odd spin parity. We prove that these constants may be computed using either:…
The Spin Gromov-Witten/Hurwitz correspondence for
Alessandro Giacchetto, Reinier Kramer, Danilo Lewański +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…
Computation of -classes via strata of differentials
Georgios Politopoulos, Adrien Sauvaget
We introduce a new family of tautological relations of the moduli space of stable curves of genus . These relations are obtained by computing the Poincaré-dual class of empty lo…
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 twi…
Volumes of moduli spaces of flat surfaces
Adrien Sauvaget
We study the moduli spaces of flat surfaces with prescribed conical singularities. Veech showed that these spaces are diffeomorphic to the moduli spaces of marked Riemann surfaces,…
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
D. Chen, M. Möller, A. Sauvaget +3
We describe a conjectural formula via intersection numbers for the Masur-Veech volumes of strata of quadratic differentials with prescribed zero orders, and we prove the formula fo…
The Large genus asymptotic expansion of Masur-Veech volumes
Adrien Sauvaget
We study the asymptotic behavior of Masur-Veech volumes as the genus goes to infinity. We show the existence of a complete asymptotic expansion of these volumes that depends only o…
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
Dawei Chen, Martin Möller, Adrien Sauvaget +1
We show that the Masur-Veech volumes and area Siegel-Veech constants can be obtained by intersection numbers on the strata of Abelian differentials with prescribed orders of zeros.…
Towards Logarithmic GLSM: The r-spin case
Qile Chen, Felix Janda, Yongbin Ruan +1
In this article, we establish the logarithmic foundation for compactifying the moduli stacks of the gauged linear sigma model using stable log maps of Abramovich-Chen-Gross-Siebert…
Volumes and Siegel-Veech constants of and Hodge integrals
Adrien Sauvaget
In the 80's H. Masur and W. Veech defined two numerical invariants of strata of abelian differentials: the volume and the Siegel-Veech constant. Based on numerical experiments, A.…
Tau functions, Prym-Tyurin classes and loci of degenerate differentials
Dmitri Korotkin, Adrien Sauvaget, Peter Zograf
We study the rational Picard group of the projectivized moduli space of holomorphic n-differentials on complex genus g stable curves. We define (n - 1) natural classes in this Pica…
Cohomology classes of strata of differentials
Adrien Sauvaget
We introduce a space of stable meromorphic differentials with poles of prescribed orders and define its tautological cohomology ring. This space, just as the space of holomorphic d…
On the principally polarized abelian varieties that contain m-minimal curves
Shin-Yao Jow, Adrien Sauvaget, Hacen Zelaci
In this paper, we study principally polarized abelian varieties of dimension that contain a curve such that the class of is times the minimal class. Welt…