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math.GT2025
Cyclic Nielsen realization for del Pezzo surfaces
Seraphina Eun Bi Lee, Tudur Lewis, Sidhanth Raman
The cyclic Nielsen realization problem for a closed, oriented manifold asks whether any mapping class of finite order can be represented by a homeomorphism of the same order. In th…
math.GT2025
A smooth Birman-Hilden theory for hyperkähler manifolds
Sidhanth Raman
This article grew out of an effort to understand the smooth mapping class groups of certain 4-manifolds in a geometric manner. We prove a smooth analog of the Birman-Hilden theorem…