R. Piergallini

activity

20232026

collaborators

3 papers

math.GT2026

Branched coverings of simply connected $4$ -manifolds

Valentina Bais, Riccardo Piergallini, Daniele Zuddas

We show that, given $d \geq 4$ and two closed connected oriented PL $4$ -manifolds $M$ and $N$ such that $N$ has a handle decomposition with no $1$ - and $3$ -handles, there exists a…

math.GT2025

Branched covering representation of non-orientable $4$ -manifolds

Valentina Bais, Riccardo Piergallini, Daniele Zuddas

We show that every closed connected non-orientable PL $4$ -manifold $X$ is a simple branched covering of $\RP^4$. We also show that $X$ is a simple branched covering of the twisted…

math.GT2023

Algebraic Presentation of $4$ -Dimensional $2$ -Handlebodies and $3$ -Dimensional Cobordisms

Anna Beliakova, Ivelina Bobtcheva, Marco De Renzi +1

In this paper, we give a new direct proof of a result by Bobtcheva and Piergallini that provides finite algebraic presentations of two categories, denoted $3 Cob$ and $4\ma…

Branched coverings of simply connected 4-manifolds

Branched covering representation of non-orientable 4-manifolds

Algebraic Presentation of 4-Dimensional 2-Handlebodies and 3-Dimensional Cobordisms

Branched coverings of simply connected $4$ -manifolds

Branched covering representation of non-orientable $4$ -manifolds

Algebraic Presentation of $4$ -Dimensional $2$ -Handlebodies and $3$ -Dimensional Cobordisms