Gianluca Faraco

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math.GT2023

Counterexamples to the simple loop conjecture in higher-dimension

Gianluca Faraco

For every $g \geq 2$ and $n \geq 4$ , we provide an $n -$ manifold $M$ and a continuous $2 -$ sided map $f : S ⟶ M$ , where $S$ is a closed genus $g$ surface, such that no si…

math.GT2022

On the automorphism groups of certain branched structures on surfaces

Gianluca Faraco

We consider translation surfaces with poles on surfaces. We shall prove that any finite group appears as the automorphism group of some translation surface with poles. As a direct…