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math.GT2025
Flip-graphs of non-orientable filling surfaces
Pallavi Panda, Hugo Parlier, Lionel Pournin
Consider a surface with punctures that serve as marked points and at least one marked point on each boundary component. We build a filling surface by singling out one of…
math.GT2023
Strip deformations of decorated hyperbolic polygons
Pallavi Panda
In this paper we study the hyperbolic and parabolic strip deformations of ideal (possibly once-punctured) hyperbolic polygons whose vertices are decorated with horoballs. We prove…
math.GT2023
Parametrisation of decorated Margulis spacetimes using strip deformations
Pallavi Panda
Margulis spacetimes are complete affine 3-manifolds that were introduced to show that the cocompactness condition of Auslander's conjecture is necessary. There are Lorentzian manif…