admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves

DOI10.2140/jsag.2021.11.89zbMath1485.14046arXiv2002.01709OpenAlexW3004840193WikidataQ125554279 ScholiaQ125554279MaRDI QIDQ2138417

Vincent Delecroix, Johannes Schmitt, Jason van Zelm

Publication date: 12 May 2022

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01709

zbMATH Keywords

intersection theorydouble ramification cyclemoduli of curvestautological ring

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items (16)

On the locus of genus 3 curves that admit meromorphic differentials with a zero of order 6 and a pole of order 2 ⋮ The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ diffstrata—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials ⋮ Chow rings of stacks of prestable curves. II ⋮ On some hyperelliptic Hurwitz–Hodge integrals ⋮ Logarithmic Gromov-Witten theory and double ramification cycles ⋮ A new cohomology class on the moduli space of curves ⋮ Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials. With an appendix by Gaëtan Borot, Alessandro Giacchetto and Danilo Lewanski ⋮ The Chow rings of the moduli spaces of curves of genus 7, 8, and 9 ⋮ Off-shell partition functions in 3d gravity ⋮ A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT ⋮ Unnamed Item ⋮ admcycles ⋮ Quadratic double ramification integrals and the noncommutative KdV hierarchy ⋮ The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

Uses Software

• SageMath
• CoCalc
• mgn
• diffstrata

Cites Work

• Unnamed Item
• The hypergeometric functions of the Faber-Zagier and Pixton relations
• The Picard groups of the moduli spaces of curves
• Pixton's double ramification cycle relations
• The second homology group of the mapping class group of an orientable surface
• Constructions of nontautological classes on moduli spaces of curves.
• A degeneration formula of GW-invariants
• Stable morphisms to singular schemes and relative stable morphisms.
• Dimension theory of the moduli space of twisted \(k\)-differentials
• Compactification of strata of abelian differentials
• Extending the double ramification cycle using Jacobians
• Intersections of loci of admissible covers with tautological classes
• Double ramification cycles on the moduli spaces of curves
• Multiplicativity of the double ramification cycle
• Geometry of Algebraic Curves
• THE MODULI SPACE OF TWISTED CANONICAL DIVISORS
• Quadratic double ramification integrals and the noncommutative KdV hierarchy
• Strata of $k$-differentials
• HIGHER GENUS GROMOV–WITTEN THEORY OF AND ASSOCIATED TO LOCAL CURVES
• The stability space of compactified universal Jacobians
• Relations on Mgn via equivariant Gromov-Witten theory of P1
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
• Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.
• Pullbacks of universal Brill–Noether classes via Abel–Jacobi morphisms

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