Volumes of moduli spaces of flat surfaces

Interval exchange transformations and measured foliations

H. Masur · 1982

Earlier work this paper cites.

Gauss measures for transformations on the space of interval exchange maps

W. A. Veech · 1982

Earlier work this paper cites.

Les surfaces euclidiennes à singularités coniques

M. Troyanov · 1986

Earlier work this paper cites.

Flat surfaces

W. A. Veech · 1993

Earlier work this paper cites.

Shapes of polyhedra and triangulations of the sphere

W. P. Thurston · 1998

Earlier work this paper cites.

Log-analytic nature of the volume of subanalytic sets

G. Comte, J.-M. Lion, and J.-P. Rolin · 2000

Earlier work this paper cites.

Graphs on surfaces and their applications. Appendix by Don B. Zagier

S. K. Lando and A. K. Zvonkin · 2004

Earlier work this paper cites.

Generalizations of McShane’s identity to hyperbolic cone-surfaces

S. P. Tan, Y. L. Wong, and Y. Zhang · 2006

Earlier work this paper cites.

Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces

M. Mirzakhani · 2007

Earlier work this paper cites.

Weil-Petersson volumes and cone surfaces

N. Do and P. Norbury · 2009

Cited alongside, same era.

The Gauss-Bonnet theorem for cone manifolds and volumes of moduli spaces

C. T. McMullen · 2017

Cited alongside, same era.

The moduli space of twisted canonical divisors

G. Farkas and R. Pandharipande · 2018

Cited alongside, same era.

Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves

V. Koziarz and D.-M. Nguyen · 2018

Cited alongside, same era.

Volumes and Siegel-Veech constants of ℋ ⁡ ( 2 ​ g − 2 ) \mathcal{H}(2g-2) and Hodge integrals

A. Sauvaget · 2018

Cited alongside, same era.

Dimension theory of the moduli space of twisted k k -differentials

J. Schmitt · 2018

Cited alongside, same era.

The area is a good enough metric

Original

M. Costantini, M. Möller, and J. Zachhuber · 2019

Later among the works it cites.

Cohomology classes of strata of differentials

A. Sauvaget · 2019

Later among the works it cites.

Moduli spaces of flat Tori and elliptic hypergeometric functions

S. Ghazouani and L. Pirio · 2020

Closest in time.

Integrals of psi-classes over higher double ramification cycles

Original

M. Costantini, A. Sauvaget, and J. Schmitt · 2021

Closest in time.

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

V. Delecroix, J. Schmitt, and J. van Zelm · 2021

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Volume forms on moduli spaces of d d -differentials