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math.GT2026
Exact curve counting of given word length on the once-punctured torus
Filippo Baroni, David Fisac, Mingkun Liu
On the once-punctured torus, we give an exact formula for the number of curves in any given mapping class group orbit of given word length. This settles a conjecture of Chas in [Ch…
math.GT2026
Fibredness of 3-manifolds is in NP
Filippo Baroni
We show that the problem of deciding whether a compact orientable 3-manifold fibres over the circle lies in the complexity class NP.