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Semitoric systems with 2n Focus-Focus singularities

Abstract

In this paper, we provide new explicit examples of semitoric systems. More precisely, for any natural number n, we give a semtioric moment map Fn with 2n focus-focus singularities defined on a symplectic manifold (Mn,ωn) of diffeomorphism type ℂℙ2♯(2n+1)ℂℙ̅2.

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BibTeX
@misc{mura2026semitoric,
  title = {{Semitoric systems with $2n$ Focus-Focus singularities}},
  author = {Haruhisa Mura},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28197},
  eprint = {2608.28197},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28197},
}
RIS
TY  - UNPB
TI  - Semitoric systems with 2n Focus-Focus singularities
AU  - Haruhisa Mura
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28197
UR  - https://arxiv.org/abs/2608.28197
AB  - In this paper, we provide new explicit examples of semitoric systems. More precisely, for any natural number n, we give a semtioric moment map F_n with 2n focus-focus singularities defined on a symplectic manifold (M_n,ω_n) of diffeomorphism type ℂℙ^2♯(2n+1)ℂℙ̅^2.
ER  -