Filippo Baroni

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20232026

most citedClassification of genus-two surfaces in

S^{3}

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math.GT2023★ 1 cited

Classification of genus-two surfaces in $S^{3}$

Filippo Baroni

We describe an algorithm to decide whether two genus-two surfaces embedded in the 3-sphere are isotopic or not. The algorithm employs well-known techniques in 3-manifolds topology,…

math.GT2023

Solution of the Hurwitz problem with a length-2 partition

Filippo Baroni, Carlo Petronio

In this note we provide a new partial solution to the Hurwitz existence problem for surface branched covers. Namely, we consider candidate branch data with base surface the sphere…

Classification of genus-two surfaces in S3

Solution of the Hurwitz problem with a length-2 partition

Classification of genus-two surfaces in $S^{3}$