3 papers
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 o…
math.DG2025
Polyhedral realisations of finite arc complexes using strip deformations
François Guéritaud, Pallavi Panda
We study infinitesimal deformations of complete hyperbolic surfaces with boundary and with ideal vertices, possibly decorated with horoballs. ``Admissible'' deformations are the on…
math.CO2025
The arc complexes of partially decorated hyperbolic polygons
Pallavi Panda
We consider two families of hyperbolic polygons: ideal and ideal once-punctured, some of whose spikes are decorated with horoballs. We show that the arc complexes of these two fami…