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math.GT2024
Orderability of big mapping class groups
Pravin Kumar, Apeksha Sanghi, Mahender Singh
We give an alternate proof of the left-orderability of the mapping class group of a connected oriented infinite-type surface with a non-empty boundary. Our main strategy involves t…
math.GT2024
Twisted Rokhlin property for mapping class groups
Pravin Kumar, Apeksha Sanghi, Mahender Singh
In this paper, generalising the idea of the Rokhlin property, we explore the concept of the twisted Rokhlin property of topological groups. A topological group is said to exhibit t…