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arXiv · 2404.08484

Symplectic mapping class relations from pencil pairs

Russell Avdek
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Abstract

We describe symplectic mapping class relations between products of positive Dehn twists along Lagrangian spheres in Weinstein $4$-manifolds, all of which are affine $\mathbb{C}$ varieties. The relations are obtained by applying classification results for Fano $3$-folds and polarized $K3$ surfaces of small genus to a general methodology -- finding pencil pairs.

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Russell Avdek. 2024-04-12. Symplectic mapping class relations from pencil pairs. https://arxiv.org/abs/2404.08484

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