DR cycles and strata of differentials with spin parity

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.

Authors

Institutions

Publication Details

Journal
ArXiv.org
Published
2025-09-03
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

DR cycles and strata of differentials with spin parity

Adrien Sauvaget, Georgios Politopoulos, David R. Holmes
ArXiv.org
Advanced Differential Equations and Dynamical Systems
article

DR cycles and strata of differentials with spin parity

Adrien Sauvaget, Georgios Politopoulos, David R. Holmes
article en

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.

ArXiv.org
Leiden University (NL), Centre National de la Recherche Scientifique (FR), Université Toulouse III - Paul Sabatier (FR), Institut National des Sciences Appliquées de Toulouse (FR), Institut National des Sciences Mathématiques et de leurs Interactions (FR), Analyse, Géométrie et Modélisation (FR), Institut de Mathématiques de Toulouse (FR)
Openalex Percentile: Top 65%
Advanced Differential Equations and Dynamical Systems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.