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math.GT2024
Lifting closed curves to finite covers of free groups
Deblina Das, Arpan Kabiraj
In this article, we show that given any integer , every closed curve on the bouquet of -circles , admits a lift to a finite -sheeted normal covering of . E…
math.GT2024
Simple lift of non-simple closed curves
Deblina Das, Arpan Kabiraj
Given a compact, oriented surface of finite genus and finitely many boundary components, we provide examples of finite covers of and non-simple closed curves $γ…