John Guaschi

activity

20042025

most citedThe braid groups of the projective plane

30 citations · 263 across the 34 of their papers we have counts for

collaborators

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29 papers · 1 filter

math.GT2025

The Splitting of Generalisations of the Fadell-Neuwirth short exact sequence

Daciberg Lima Gonçalves, John Guaschi, Carolina de Miranda e Pereiro

We study some generalisations to mixed braid groups of the Fadell-Neuwirth short exact sequence and the possible splitting of this sequence. In certain cases, we determine conditio…

math.GT2025

Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings

John Guaschi, Daniel Juan-Pineda

We describe the lower algebraic $K$ -theory of the integral group ring of both the pure and full braid groups of the real projective plane $R P^{2}$ with $3$ strings, as well…

math.GT2022

Free cyclic actions on surfaces and the Borsuk-Ulam theorem

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ and $N$ be topological spaces, let $G$ be a group, and let $τ : G \times M \to M$ be a proper free action of $G$ . In this paper, we define a Borsuk-Ulam-type…

math.GT2021

The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle -- part 2

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ be a topological space that admits a free involution $τ$ , and let $N$ be a topological space. A homotopy class $β \in [M, N]$ is said to have the Borsuk-Ulam property with…

math.GT2019

The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ be a topological space that admits a free involution $τ$ , and let $N$ be a topological space. A homotopy class $β \in [M, N]$ is said to have {\it the Borsuk-Ulam property…

math.GT2018★ 1 cited

Lower central series, surface braid groups, surjections and permutations

Paolo Bellingeri, Daciberg Lima Gonçalves, John Guaschi

Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n $\in$ N for which there exists a surjection between the n-and m-string bra…