3 papers
math.GT2025
Separability criteria for loops via the Goldman bracket
Aoi Wakuda
We provide some explicit algebraic criteria in terms of the Goldman bracket to decide whether two free homotopy classes of loops on an oriented surface admit disjoint representativ…
math.GT2025
Puncture loops on a non-orientable surface
Aoi Wakuda
On a connected surface with negative Euler characteristic, the free homotopy class of a loop obtained by smoothing an intersection of two closed geodesics may wind around a pun…
math.GT2024
A generalization of the Center Theorem of the Thurston-Wolpert-Goldman Lie algebra
Aoi Wakuda
The Goldman Lie algebra of an oriented surface was defined by Goldman. By the natural involution that opposes the orientation of curves, the Goldman Lie algebra becomes a $\mathbb{…