Lusternik-Schnirelmann category of Lee Forms on locally conformally symplectic manifolds

@misc{fukushi2026lusternikschnirelmann,
  title = {{Lusternik-Schnirelmann category of Lee Forms on locally conformally symplectic manifolds}},
  author = {Kenji Fukushi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06709},
  eprint = {2609.06709},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06709},
}

TY  - UNPB
TI  - Lusternik-Schnirelmann category of Lee Forms on locally conformally symplectic manifolds
AU  - Kenji Fukushi
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06709
UR  - https://arxiv.org/abs/2609.06709
AB  - The Lusternik--Schnirelmann category of a closed symplectic manifold admits various estimates. Locally conformally symplectic (LCS) geometry is a generalization of symplectic geometry involving a closed one-form, called the Lee form. In this paper, we introduce Farber's Lusternik--Schnirelmann category for closed one-forms into LCS geometry by applying it to the Lee class. In particular, this provides a new topological approach to LCS structures of the second kind. We then obtain lower bounds for this invariant under LCS blow-ups.
ER  -