Skip to content
DraconiticResearch
Search Sources API
197,693 studies31 sourcesUpdated 17 min ago
PreprintarXiv licencearXiv

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

  1. Floer-theoretic entropy of exact symplectomorphisms
    Joontae Kim, Myeonggi Kwon
    arXivPreprintCC BY 4.0Full textDynamical systemsGeometry & topologyarXiv
  2. Symplecto-rigidity and bootstrap for Anosov symplectomorphisms and contact Anosov flows
    Andrey Gogolev, Federico Rodriguez Hertz
    arXivPreprintarXiv licenceFull textDynamical systemsGeometry & topologyarXiv
  3. Exact orbifold fillings of contact manifolds
    Fabio Gironella, Zhengyi Zhou
    Journal of TopologyPeer-reviewedLicence not statedFull text13 citedGeometry & topologyOpenAlex
  4. Minimal equatorial fillings of low index
    Jacob Bernstein, Daniel Ketover
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  5. Minimal equatorial fillings
    Jacob Bernstein, Daniel Ketover
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
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  -