Alina Beaini - Profile on Academia.edu (original) (raw)

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Papers by Alina Beaini

arXiv (Cornell University), Nov 25, 2023

For each circle bundle S 1 → X → Σg over a surface with genus g ≥ 2, there is a natural surjectio... more For each circle bundle S 1 → X → Σg over a surface with genus g ≥ 2, there is a natural surjection π : Homeo + (X) → Mod(Σg). When X is the unit tangent bundle U Σg, it is well-known that π splits. On the other hand π does not split when the Euler number e(X) is not divisible by the Euler characteristic χ(Σg) by [CT23]. In this paper we show that this homomorphism does not split in many cases where χ(Σg) divides e(X).

arXiv (Cornell University), Nov 25, 2023

For each circle bundle S 1 → X → Σg over a surface with genus g ≥ 2, there is a natural surjectio... more For each circle bundle S 1 → X → Σg over a surface with genus g ≥ 2, there is a natural surjection π : Homeo + (X) → Mod(Σg). When X is the unit tangent bundle U Σg, it is well-known that π splits. On the other hand π does not split when the Euler number e(X) is not divisible by the Euler characteristic χ(Σg) by [CT23]. In this paper we show that this homomorphism does not split in many cases where χ(Σg) divides e(X).

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