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Fiber-Connectivity of Almost-Toric Systems in Four-Dimension

  • Aerim Si
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Abstract

In this paper, we study the fiber connectivity of proper almost-toric systems Φ on connected four-dimensional symplectic manifolds. Using Morse--Kirwan theory, we establish three sufficient conditions for fiber connectivity. These results generalize and extend the fiber connectivity results of Pelayo, Ratiu, and Vu Ngoc (2015) by relaxing some of their hypotheses.

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Cite

BibTeXRIS
BibTeX
@misc{si2026fiberconnectivity,
  title = {{Fiber-Connectivity of Almost-Toric Systems in Four-Dimension}},
  author = {Aerim Si},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02165},
  eprint = {2611.02165},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02165},
}
RIS
TY  - UNPB
TI  - Fiber-Connectivity of Almost-Toric Systems in Four-Dimension
AU  - Aerim Si
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.02165
UR  - https://arxiv.org/abs/2611.02165
AB  - In this paper, we study the fiber connectivity of proper almost-toric systems Φ on connected four-dimensional symplectic manifolds. Using Morse--Kirwan theory, we establish three sufficient conditions for fiber connectivity. These results generalize and extend the fiber connectivity results of Pelayo, Ratiu, and Vu Ngoc (2015) by relaxing some of their hypotheses.
ER  -