Symplectic isotopy on non-minimal ruled surfaces

Olguta Buse; Jun Li

Symplectic isotopy on non-minimal ruled surfaces

Symplectic Geometry 2023-06-06 v2

Authors: Olguta Buse , Jun Li

Abstract

We prove the stability of $Symp(X,\omega)\cap Diff_0(X)$ for a one-point blow-up of irrational ruled surfaces and study their topological colimit. Non-trivial generators of $\pi_0[Symp(X,\omega)\cap Diff_0(X)]$ that differ from Lagrangian Dehn twists are detected.

Keywords

symplectic geometry blow-up

Cite

@article{arxiv.2010.04616,
  title  = {Symplectic isotopy on non-minimal ruled surfaces},
  author = {Olguta Buse and Jun Li},
  journal= {arXiv preprint arXiv:2010.04616},
  year   = {2023}
}

Comments

29 pages, 3 figures. v2, rewrote inflation process in response to the referee; the same main results; improved presentation. To appear in Math Zeitschrift

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