Symplectic mapping class relations from pencil pairs
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 $K_{3}$ surfaces of small genus to a general methodology  finding pencil pairs.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.08484
 arXiv:
 arXiv:2404.08484
 Bibcode:
 2024arXiv240408484A
 Keywords:

 Mathematics  Symplectic Geometry;
 Mathematics  Algebraic Geometry;
 Mathematics  Geometric Topology
 EPrint:
 15 pages, 1 figure. Comments welcome