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On the existence of Hamiltonian 4-manifolds with a contact type boundary

Symplectic Geometry 2025-01-09 v1

Abstract

While the Hamiltonian group actions on closed symplectic manifolds have been widely explored throughout the last couple of decades, the study on Hamiltonian group actions on symplectic manifolds with a contact type boundary has started only recently, with the work by Niederkr\"uger and the author [MN]. In this note we pursue this study by presenting several methods to construct such Hamiltonian circle manifolds in dimension 4.

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Cite

@article{arxiv.2501.04458,
  title  = {On the existence of Hamiltonian 4-manifolds with a contact type boundary},
  author = {Aleksandra Marinkovic},
  journal= {arXiv preprint arXiv:2501.04458},
  year   = {2025}
}

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26 pages