Download the PDF of the paper entitled “Isotope Class of Del Pezzo Surface Entrainment” by Serapina Eun Bi Lee

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    overview: $M_n := \mathbb{CP}^2 \# n\overline{\mathbb{CP}^2}$ for $0 \leq n \leq 8$ is the smooth manifold underlying $9-n$ del Pezzo water surface. We prove three results for the mapping class group $\text{Mod}(M_n) := \pi_0(\text{Homeo}^+(M_n))$.

    1. Classification and structure theorems for all convolutions of $\text{Mod}(M_n)$,

    2. A positive solution to the smooth Nielsen realization problem for the involution of $M_n$, and

    3. A purely topological characterization of three distinct types of involutions on a particular $M_n$ derived from birational geometry: de Jonquiéres involutions, Geiser involutions, and Bertini involutions.

    One of the main elements is the theory of hyperbolic reflection groups.

    Post history

    From: Serafina Eunbi Yi [view email]

    [v1]

    Tuesday, February 22, 2022 01:53:51 UTC (247 KB)

    [v2]

    Tuesday, May 23, 2023 23:14:29 UTC (249 KB)



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