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

Towards an enumerative geometry of the moduli space of curves

David Mumford · 1983

Earlier work this paper cites.

Intersection-theoretical computations on M ¯ g \overline{\mathcalorig M}_{g}

Carel Faber · 1996

Earlier work this paper cites.

Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians

Carel Faber · 1999

Earlier work this paper cites.

Logarithmic series and hodge integrals in the tautological ring. with an appendix by don zagier

C. Faber and R. Pandharipande · 2000

Earlier work this paper cites.

Stable morphisms to singular schemes and relative stable morphisms

Jun Li · 2001

Earlier work this paper cites.

Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds

An-Min Li and Yongbin Ruan · 2001

Earlier work this paper cites.

A degeneration formula of GW-invariants

Jun Li · 2002

Earlier work this paper cites.

Constructions of nontautological classes of moduli spaces of curves

Tom Graber and Rahul Pandharipande · 2003

Earlier work this paper cites.

Relative virtual localization and vanishing of tautological classes on moduli spaces of curves

Tom Graber and Ravi Vakil · 2005

Earlier work this paper cites.

Calculating intersection numbers on moduli spaces of pointed curves

Stephanie Yang · 2008

Earlier work this paper cites.

Geometry of algebraic curves: Volume II

Enrico Arbarello, Maurizio Cornalba, and Phillip Griffiths · 2011

Earlier work this paper cites.

Conjectural relations in the tautological ring of M ¯ g , n \overline{M}_{g,n}

A. Pixton · 2012

Earlier work this paper cites.

Normal functions and the geometry of moduli spaces of curves

Richard Hain · 2013

Earlier work this paper cites.

The zero section of the universal semiabelian variety, and the double ramification cycle

Samuel Grushevsky and Dmitry Zakharov · 2014

Cited alongside, same era.

Relations on M ¯ g , n \overline{M}_{g,n} via 3 3 -spin structures

Rahul Pandharipande, Aaron Pixton, and Dimitri Zvonkine · 2015

Cited alongside, same era.

Relations on M ¯ g , n \overline{M}_{g,n} via equivariant Gromov-Witten theory of ℙ 1 \mathbb{P}^{1}

Felix Janda · 2017

Cited alongside, same era.

mgn - a Sage program for computing products, Faber-Zagier relations, and top intersections on the moduli space of stable curves

Drew Johnson · 2017

Cited alongside, same era.

Double ramification cycles on the moduli spaces of curves

Felix Janda, Rahul Pandharipande, Aaron Pixton, and Dimitri Zvonkine · 2017

Cited alongside, same era.

Compactification of strata of Abelian differentials

Strata of k k -differentials

Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller · 2019

Later among the works it cites.

The moduli space of multi-scale differentials, 2019

Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller · 2019

Later among the works it cites.

Quadratic double ramification integrals and the noncommutative KdV hierarchy

Original

Alexandr Buryak and Paolo Rossi · 2019

Later among the works it cites.

Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials

Original

D. Chen, M. Möller, A. Sauvaget, with an appendix by G. Borot, A. Giacchetto, and D. Lewanski · 2019

Later among the works it cites.

A Laplacian to compute intersection numbers on M ¯ g , n \overline{\mathcalorig{M}}_{g,n} and correlation functions in NCQFT

Original

Harald Grosse, Alexander Hock, and Raimar Wulkenhaar · 2019