scholarly journals On Nonabelian Theories and Abelian Differentials

2009 ◽  
pp. 257-274 ◽  
Author(s):  
A. Marshakov
Keyword(s):  
Abelian Differentials

scholarly journals Correction to: Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials

2021 ◽  
Author(s):  
Dawei Chen ◽  
Martin Möller ◽  
Adrien Sauvaget ◽  
Don Zagier
Keyword(s):  
Moduli Spaces ◽  
Intersection Theory ◽  
Abelian Differentials

A Correction to this paper has been published: https://doi.org/10.1007/s00222-020-00969-4

scholarly journals Compactification of strata of Abelian differentials

2018 ◽  
Vol 167 (12) ◽  
pp. 2347-2416 ◽  
Author(s):  
Matt Bainbridge ◽  
Dawei Chen ◽  
Quentin Gendron ◽  
Samuel Grushevsky ◽  
Martin Möller
Keyword(s):  
Abelian Differentials

scholarly journals Infinite sequence of fixed-point free pseudo-Anosov homeomorphisms

2009 ◽  
Vol 30 (6) ◽  
pp. 1739-1755 ◽  
Author(s):  
JÉRÔME LOS
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Infinite Sequence ◽  
Abelian Differentials ◽  
Induction Strategy ◽  
Topological Surface

AbstractWe construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy–Veech induction strategy.

On unipotent flows in ℋ(1,1)

2009 ◽  
Vol 30 (2) ◽  
pp. 379-398 ◽  
Author(s):  
KARIANE CALTA ◽  
KEVIN WORTMAN
Keyword(s):  
Moduli Space ◽  
Probability Measures ◽  
Specific Class ◽  
Horocycle Flow ◽  
Abelian Differentials ◽  
Unipotent Flows ◽  
Genus Two

AbstractWe study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the stratum ℋ(1,1).

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