Results 221 to 230 of about 83,771 (308)

Compactifications of strata of differentials

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source

Bounded cohomology of groups acting on trees with almost prescribed local actions

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions G(F,F′)$G(F, F^{\prime })$, where F
Giuseppe Bargagnati, Elena Bogliolo
wiley   +1 more source

C0$C^0$ Lagrangian monodromy

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
wiley   +1 more source

Markov's conjecture on integral necklaces

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.
David Fisac
wiley   +1 more source

A full classification of the isometries of the class of ball‐bodies

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan   +2 more
wiley   +1 more source

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