Rodrigo de Pool

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4 papers · 1 filter

math.GT2026

Rigidity of maps between configuration spaces

Rodrigo De Pool, Peter Huxford, Daniel Minahan +1

Let $n \geq 5$ and $m \geq 3$ . Let $Φ : B_{n} \to B_{m}$ be a homomorphism of braid groups. We prove that if the image of $Φ$ is irreducible and not cyclic, then $m = n$ a…

math.GT2024

Holomorphic maps between moduli spaces II

Rodrigo De Pool, Juan Souto

We prove that forgetful maps are the only non-constant holomorphic maps $M_{g, r} \to M_{g^{'}, r^{'}}$ between moduli spaces, as long as $g \geq 4$ and $g'\le 3\cdot 2^{g…

math.GT2024

Non-planar ends are continuously unforgettable

Javier Aramayona, Rodrigo De Pool, Rachel Skipper +3

We show that continuous epimorphisms between a class of subgroups of mapping class groups of orientable infinite-genus 2-manifolds with no planar ends are always induced by homeomo…

math.GT2024

Braided multitwists

Rodrigo de Pool

We provide a characterization for multitwists satisfying the braid relation in the mapping class group of an orientable surface.