Symplectic isotopy on non-minimal ruled surfaces

Symplectic mapping class groups of blowups of tori

“…In particular, they found manifolds with trivial symplectic mapping class groups and also manifolds whose symplectic mapping class group is the pure braid group of 𝑆 2 . In [7], Buse and Li investigated the symplectic mapping class groups of a one-point blowup of irrational ruled surfaces; they found new nontrivial symplectic mapping classes that are trivial smoothly. The works above focus on the symplectomorphism groups of rational ruled surfaces and their blow-ups.…”