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On nearly Lefschetz fibrations and spinal open books
Abstract
We survey the recent development of spinal open books and nearly Lefschetz fibrations. The focus is on explaining past and new results regarding the detection of symplectic fillability and classification of symplectic fillings of contact 3-manifolds in light of the new machinery. We give many examples and a list of open questions. This can be considered as an additional chapter to the lecture notes by Ozbacgi and Wendl.
Related
- Nearly Lefschetz fibrations, Stein structures, and regular Lagrangians
- Lefschetz fibrations with handlebody monodromy
- Lifting braids over ℝℙ2 and non-orientable Lefschetz fibrations
- Sections, pseudosections, and multisections of Lefschetz fibrations
- Gurtas Lefschetz Fibrations, Rational Blowdowns, and Exotic Symplectic Four-Manifolds
BibTeX
@misc{min2026nearly,
title = {{On nearly Lefschetz fibrations and spinal open books}},
author = {Hyunki Min and Agniva Roy and Luya Wang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04089},
eprint = {2611.04089},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04089},
}
RIS
TY - UNPB
TI - On nearly Lefschetz fibrations and spinal open books
AU - Hyunki Min
AU - Agniva Roy
AU - Luya Wang
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.04089
UR - https://arxiv.org/abs/2611.04089
AB - We survey the recent development of spinal open books and nearly Lefschetz fibrations. The focus is on explaining past and new results regarding the detection of symplectic fillability and classification of symplectic fillings of contact 3-manifolds in light of the new machinery. We give many examples and a list of open questions. This can be considered as an additional chapter to the lecture notes by Ozbacgi and Wendl.
ER -