English

Removal of singularities in Morse-Bott symplectizations

Symplectic Geometry 2025-09-23 v1

Abstract

Hofer-Wysocki-Zehnder and Bourgeois proved that a finite energy punctured pseudoholomorphic curve in the symplectization of a Morse-Bott contact manifold either has a removable singularity or asymptotes to a Reeb orbit. We give an alternate proof of this result.

Keywords

Cite

@article{arxiv.2509.17772,
  title  = {Removal of singularities in Morse-Bott symplectizations},
  author = {Manav Gaddam and Sushmita Venugopalan},
  journal= {arXiv preprint arXiv:2509.17772},
  year   = {2025}
}

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17 pages