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Exotic symplectomorphisms of strong fillings
Abstract
We prove a criterion for detecting exotic symplectomorphisms of strong fillings of closed contact manifolds. The criterion concerns symplectomorphisms induced by free contact circle actions on the boundary, and it is expressed purely in topological terms. As an application, we show that one-point blow-ups of an infinite family of Brieskorn varieties admit exotic compactly supported symplectomorphisms.
Related
BibTeX
@misc{drobnjak2026exotic,
title = {{Exotic symplectomorphisms of strong fillings}},
author = {Dušan Drobnjak},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22782},
eprint = {2610.22782},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22782},
}
RIS
TY - UNPB
TI - Exotic symplectomorphisms of strong fillings
AU - Dušan Drobnjak
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.22782
UR - https://arxiv.org/abs/2610.22782
AB - We prove a criterion for detecting exotic symplectomorphisms of strong fillings of closed contact manifolds. The criterion concerns symplectomorphisms induced by free contact circle actions on the boundary, and it is expressed purely in topological terms. As an application, we show that one-point blow-ups of an infinite family of Brieskorn varieties admit exotic compactly supported symplectomorphisms.
ER -