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This paper investigates the relationship between strata of abelian differentials and various mapping class groups afforded by means of the topological monodromy representation.
Homeomorphisms of a surface which act trivially on homology
D. Johnson · 1979
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The structure of the Torelli group. I. A finite set of generators for ℐ {\mathcal{I}}
D. Johnson · 1983
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The structure of the Torelli group II: A characterization of the group generated by twists on bounding curves
D. Johnson · 1985
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A generalization of winding number functions on surfaces
S. Humphries and D. Johnson · 1989
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Lyapunov exponents and Hodge theory
M. Kontsevich and A. Zorich · 1997
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A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities
M. Matsumoto · 2000
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Moduli spaces of Abelian differentials: the principal boundary, counting problems and the Siegel–Veech constants
A. Eskin, H. Masur, and A. Zorich · 2003
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Connected components of the moduli spaces of Abelian differentials with prescribed singularities
M. Kontsevich and A. Zorich · 2003
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Explicit Jenkins-Strebel representatives of all strata of abelian and quadratic differentials
A. Zorich · 2008
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A Primer on Mapping Class Groups
B. Farb and D. Margalit · 2011
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Classification of Rauzy classes in the moduli space of Abelian and quadratic differentials
C. Boissy · 2012
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Homology of the moduli spaces and mapping class groups of framed, r r -Spin and Pin surfaces
O. Randal-Williams · 2013
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The fine structure of the moduli space of abelian differentials in genus 3
E. Looijenga and G. Mondello · 2014
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Labeled Rauzy classes and framed translation surfaces
C. Boissy · 2015
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Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1)
M. Bainbridge, J. Smillie, and B. Weiss · 2016
The mapping class group orbits in the framings of compact surfaces
N. Kawazumi · 2018
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The Johnson homomorphism and its kernel
A. Putman · 2018
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Connected components of strata of Abelian differentials over Teichmüller space
A. Calderon · 2019
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Higher spin mapping class groups and strata of Abelian differentials over Teichmüller space
A. Calderon and N. Salter · 2019
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Monodromy and vanishing cycles in toric surfaces
N. Salter · 2019
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Relative homological representations of framed mapping class groups
A. Calderon and N. Salter · 2020
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Cited alongside, same era.
On finite generation of the Johnson filtrations
T. Church, M. Ershov, and A. Putman · 2017
Cited alongside, same era.
On finiteness properties of the Johnson filtrations
M. Ershov and S. He · 2018
Cited alongside, same era.
Quotients of the orbifold fundamental group of strata of abelian differentials
U. Hamenstädt · 2018
Cited alongside, same era.
On the orbifold fundamental group of the odd component of the stratum H(2,..,2)
U. Hamenstädt · 2020
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Vanishing cycles, plane curve singularities, and framed mapping class groups (working title)
P. Portilla Cuadrado and N. Salter · 2020
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