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

36 papers

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.GR2022

Unrestricted virtual braids and crystallographic braid groups

Paolo Bellingeri, John Guaschi, Stavroula Makri

We show that the crystallographic braid group $B_{n} / [P_{n}, P_{n}]$ embeds naturally in the group of unrestricted virtual braids $U V B_{n}$ , we give new proofs of known results about the to…

math.GR2021★ 4 cited

Crystallographic groups and flat manifolds from surface braid groups

Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo +1

Let $M$ be a compact surface without boundary, and $n \geq 2$ . We analyse the quotient group $B_{n} (M) / Γ_{2} (P_{n} (M))$ of the surface braid group $B_{n} (M)$ by the commutator subgroup $Γ…

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…