Flip graphs for infinite type surfaces

Published 4 Nov 2020 in math.GT and math.CO | (2011.02324v1)

Abstract: We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results is that flip graphs for infinite type surfaces have uncountably many connected components.

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