Valentina Bais

activity

20222026

most citedA recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots

1 citations · 1 across the 12 of their papers we have counts for

collaborators

13 papers

math.GT2026

Lifting braids over $RP^{2}$ and non-orientable Lefschetz fibrations

Valentina Bais, Porter Morgan, Daniele Zuddas

We show that, given a closed connected non-orientable surface $F$ and a simple branched cover $p : F \to RP^{2}$ of degree $d \geq 5$ , every self-diffeomorphism…

math.GT2026

Cobordism groups of dihedral branched covers

Valentina Bais, Alexandra Kjuchukova

For every integer $n \geq 1$ , we compute the cobordism groups of dihedral $n$ -fold branched covers of $S^{3}$ with oriented and non-oriented branching sets. We show that the groups a…

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

On the detection of knots by their traces in high dimensions

Valentina Bais, Alessio Di Prisa, Daniel Hartman +8

For every $n \geq 4$ , we demonstrate the existence of non-isotopic, smooth $(n - 2)$ -knots in $S^{n}$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG l…

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.GT2025

A cut-and-paste mechanism to introduce fundamental group and construct new four-manifolds

Valentina Bais, Rafael Torres

We introduce a simple cut-and-paste mechanism to construct both orientable and nonorientable four-manifolds from a given initial one. This mechanism alters the fundamental group wh…

math.GT2025

$Pin^{\pm}$ -structures on non-oriented 4-manifolds via Lefschetz fibrations

Valentina Bais

We study necessary and sufficient conditions for a 4-dimensional Lefschetz fibration over the 2-disk to admit a $Pin^{\pm}$ -structure, extending the work of A. Stipsicz in t…

math.GT2024

On Dold-Whitney's parallelizability of 4-manifolds

Valentina Bais

We present a proof of the fact that a closed orientable 4-manifold is parallelizable if and only if its second Stiefel-Whitney class, first Pontryagin class and Euler characteristi…

math.GT2024

Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group

Valentina Bais, Rafael Torres, Daniele Zuddas

We produce examples of pairwise non-diffeomorphic closed irreducible 4-manifolds with non-trivial free abelian fundamental group of rank less than three and small Euler characteris…

math.GT2023

Smooth structures on non-orientable $4$ -manifolds via twisting operations

Valentina Bais, Rafael Torres

Four observations compose the main results of this note. The first records the existence of a smoothly embedded 2-sphere $S$ inside $R P^{2} \times S^{2}$ such that performing…

math.GT2023

Existence results of Spin $(2, n - 1)_{0}$ -pseudo-Riemannian cobordisms

Valentina Bais, Victor Gustavo May Custodio, Rafael Torres

In this note, we study necessary and sufficient conditions for the existence of a Spin $(n + 1)$ -dimensional cobordism that supports a non-singular and non-degenerate pseudo-Rieman…

math.GT2022

On Stiefel's parallelizability of 3-manifolds

Valentina Bais, Daniele Zuddas

We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as the main tool the fact that any such manifold admits a Heegaard splitting.

math.GT2022★ 1 cited

A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots

Valentina Bais, Younes Benyahia, Oliviero Malech +1

We describe a construction procedure of infinite sets of $2$ -links in closed simply connected 4-manifolds that are topologically isotopic, smoothly inequivalent and componentwise t…

Lifting braids over RP2 and non-orientable Lefschetz fibrations

Cobordism groups of dihedral branched covers

Branched coverings of simply connected 4-manifolds

On the detection of knots by their traces in high dimensions

Branched covering representation of non-orientable 4-manifolds

A cut-and-paste mechanism to introduce fundamental group and construct new four-manifolds

Pin±-structures on non-oriented 4-manifolds via Lefschetz fibrations

On Dold-Whitney's parallelizability of 4-manifolds

Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group

Smooth structures on non-orientable 4-manifolds via twisting operations

Existence results of Spin(2,n−1)0​-pseudo-Riemannian cobordisms

On Stiefel's parallelizability of 3-manifolds

A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots

Lifting braids over $RP^{2}$ and non-orientable Lefschetz fibrations

Branched coverings of simply connected $4$ -manifolds

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

$Pin^{\pm}$ -structures on non-oriented 4-manifolds via Lefschetz fibrations

Smooth structures on non-orientable $4$ -manifolds via twisting operations

Existence results of Spin $(2, n - 1)_{0}$ -pseudo-Riemannian cobordisms