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arXiv · 2310.10499

Contractibility of the geometric stability manifold of a surface

Nick Rekuski
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Abstract

Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new families of surfaces whose stability manifold is contractible.

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Nick Rekuski. 2023-10-16. Contractibility of the geometric stability manifold of a surface. https://arxiv.org/abs/2310.10499

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