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We prove a closed formula for the integral of a power of a single $\psi$-class on strata of $k$-differentials.
The moduli space of multi-scale differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller · 1910
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The area is a good enough metric
M. Costantini, M. Möller, and J. Zachhuber · 1910
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Masur-veech volumes and intersection theory: the principal strata of quadratic differentials
Dawei Chen, Martin Möller, and Adrien Sauvaget · 1912
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Theta characteristics of an algebraic curve
David Mumford · 1971
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The Euler characteristic of the moduli space of curves
John Harer and Don Zagier · 1986
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Moduli of curves and theta-characteristics
Maurizio Cornalba · 1989
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The moduli space of Riemann surfaces is Kähler hyperbolic
Curtis T. McMullen · 2000
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Framed mapping class groups and the monodromy of strata of abelian differentials
Aaron Calderon and Nick Salter · 2002
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Vincent Delecroix, Johannes Schmitt, and Jason van Zelm · 2002
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A degeneration formula of GW-invariants
Jun Li · 2002
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Moduli of twisted spin curves
Dan Abramovich and Tyler J. Jarvis · 2003
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Moduli spaces of abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
Alex Eskin, Howard Masur, and Anton Zorich · 2003
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Constructions of nontautological classes on moduli spaces of curves
Tom Graber and Rahul Pandharipande · 2003
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Connected components of the moduli spaces of Abelian differentials with prescribed singularities
Maxim Kontsevich and Anton Zorich · 2003
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Pixton’s formula and Abel-Jacobi theory on the Picard stack
Younghan Bae, David Holmes, Rahul Pandharipande, Johannes Schmitt, and Rosa Schwarz · 2004
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Volumes of moduli spaces of flat surfaces
Adrin Sauvaget · 2004
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The chern classes and the euler characteristic of the moduli spaces of abelian differentials
M. Costantini, M. Möller, and J. Zachhuber · 2006
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Matteo Costantini, Martin Möller, and Jonathan Zachhuber · 2006
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Gromov-Witten theory, Hurwitz theory, and completed cycles
Andrei Okounkov and Rahul Pandharipande · 2006
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Stable twisted curves and their r r -spin structures
Alessandro Chiodo · 2008
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Strata of k k -differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller · 2019
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A family of Bell transformations
Daniel Birmajer, Juan B. Gil, and Michael D. Weiner · 2019
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Cohomology classes of strata of differentials
Adrien Sauvaget · 2019
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Masur-Veech volumes and intersection theory on moduli spaces of Abelian differentials
Dawei Chen, Martin Möller, Adrien Sauvaget, and Don Zagier · 2020
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Billiards, quadrilaterals, and Moduli spaces
A. Eskin, C. McMullen, R. Mukamel, and A. Wright · 2020
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On the orbifold fundamental group of the odd component of the stratum ℋ ( 2 , … , 2 ) \mathcal{H}(2,\dots,2)
Ursula Hamenstädt · 2020
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Connected components of the strata of the moduli space of meromorphic differentials
Corentin Boissy · 2015
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Integrals of ψ \psi -classes over double ramification cycles
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Isolation, equidistribution, and orbit closures for the SL ( 2 , ℝ ) \mathrm{SL}(2,\mathbb{R}) action on moduli space
A. Eskin, M. Mirzakhani, and A. Mohammadi · 2015
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Splitting mixed Hodge structures over affine invariant manifolds
S. Filip · 2016
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The algebraic hull of the Kontsevich-Zorich cocycle
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Invariant and stationary measures for the SL ( 2 , ℝ ) {\rm SL}(2,\mathbb{R}) action on moduli space
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Intersections of loci of admissible covers with tautological classes
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Moduli spaces of residueless meromorphic differentials and the KP hierarchy
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