From flops to diffeomorphism groups

Gleb Smirnov

From flops to diffeomorphism groups

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arxiv 2002.01233 v2 pith:YJQE4DQB submitted 2020-02-04 math.DG math.AG

Gleb Smirnov This is my paper · ORCID

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keywords diffeomorphismgroupsloopsclosedcomplexcontainexamplesexhibit

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We exhibit many examples of closed complex surfaces whose diffeomorphism groups are not simply-connected and contain loops that are not homotopic to loops of symplectomorphisms.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Family Seiberg-Witten equation on Kahler surface and $\pi_i(\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces
math.GT 2024-12 reject novelty 6.0 of 10

Infinite generation of some higher homotopy groups of symplectomorphism groups is proved for n-point Kahler blowups of tori, K3 surfaces, and Enriques surfaces with non-resonant Kahler classes.

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