Heriot-Watt University

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20022026

most citedSuperconducting nanowire single-photon detectors: physics and applications

957 citations

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12 papers · 1 filter

math.GR2026

Geometric Inverse Semigroup Theory: a note on the Milnor-Schwarz Lemma for inverse monoids

Giorgio Mangioni, Francesco Tesolin

We generalise the Milnor-Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, i…

math.GR2025

Power quotients of surface groups and mapping class groups

Rémi Coulon, Alessandro Sisto, Henry Wilton

Let $Γ$ be the fundamental group of a closed, orientable, hyperbolic surface $S$ . The $n$ -power quotient, $Γ (n)$ , is the quotient of $Γ$ by the $n$ th powers of simple closed curves…

math.GR2025

Bounded cohomology, quotient extensions, and hierarchical hyperbolicity

Francesco Fournier-Facio, Giorgio Mangioni, Alessandro Sisto

We call a central extension bounded if its Euler class is represented by a bounded cocycle. We prove that a bounded central extension of a hierarchically hyperbolic group (HHG) is…

math.GR2025

On uniqueness of coarse median structures

Elia Fioravanti, Alessandro Sisto

We show that any product of bushy hyperbolic spaces has a unique coarse median structure, and that having a unique coarse median structure is a property closed under relative hyper…

math.GR2024

Ordering groups and the Identity Problem

Corentin Bodart, Laura Ciobanu, George Metcalfe

In this paper, the Identity Problem for certain groups, which asks if the subsemigroup generated by a given finite set of elements contains the identity element, is related to prob…

math.GR2019

The algebra of rewriting for presentations of inverse monoids

N. D. Gilbert, E. A. McDougall

We describe a formalism, using groupoids, for the study of rewriting for presentations of inverse monoids, that is based on the Squier complex construction for monoid presentations…