Symplectic mapping class groups of K3 surfaces and Seiberg-Witten invariants

Abstract

The purpose of this note is to prove that the symplectic mapping class groups of many K3 surfaces are infinitely generated. Our proof makes no use of any Floer-theoretic machinery but instead follows the approach of Kronheimer and uses invariants derived from the Seiberg-Witten equations.

arXiv commenta straightforward generalization and extension of arXiv:2010.03361; v2 corrected some typos and added clarifications, accepted version