We discuss a number of open problems about mapping class groups of surfaces. In
particular, we discuss problems related to linearity, congruence subgroups, cohomology …

Commensurations of Aut(FN) and Its Torelli Subgroup | Geometric and Functional Analysis
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For g≥ 5, we give a complete classification of the connected components of strata of abelian
differentials over Teichmüller space, establishing an analogue of Kontsevich and Zorich's …

A topological fibered space is a Birman–Hilden space whenever in each isotopic pair of its
fiber-preserving (taking each fiber to a fiber) self-homeomorphisms the homeomorphisms …

This paper describes connected components of the strata of holomorphic abelian
differentials on marked Riemann surfaces with prescribed degrees of zeros. Unlike the case …

We relate full exceptional sequences in Fukaya categories of surfaces or equivalently in
derived categories of graded gentle algebras to branched coverings over the disk, building …

We study the structure of self-homeomorphism groups of fibered manifolds. A fibered
topological space is a Birman–Hilden space whenever in each isotopic pair of its fiber …

Let $\text {Mod}(S_g) $ be the mapping class group of the closed orientable surface of
genus $ g\geq 1$, and let $\text {LMod} _ {p}(X) $ be the liftable mapping class group …

For $ g\geq 2$, let $\mathrm {Mod}(S_g) $ be the mapping class group of closed orientable
surface $ S_g $ of genus $ g $. In this paper, we derive a finite generating set for the liftable …

Расслоенное топологическое пространство называется пространством Бирман—
Хильдена, если в каждой паре послойных (переводящих каждый слой в некоторый …