PreprintCC BY-NC-ND 4.0arXiv
On the stability of displacement energy in toric manifolds
Abstract
We present a quantitative exploration of the behaviour of displacement energy of Lagrangians under stabilization. In particular, we completely characterize the displacement behaviour of toric fibres in Fano 4-manifolds. Our approach relates the geometry of the moment polytope's caustic to the structure of the (bulk-deformed) superpotential and to the presence of symmetric probes.
Related
- A Counterexample to Cohomological Rigidity of Toric Manifolds
- Equivariant bordism rigidity for toric manifolds
- Convergence of Generalized Kähler--Ricci Flow on Toric Fano Manifolds
- Constructing Lagrangian surfaces in all symplectic toric $4$-manifolds from multi-grid diagrams
- Compact toric Einstein four-manifolds
BibTeX
@misc{chasse2026stability,
title = {{On the stability of displacement energy in toric manifolds}},
author = {Jean-Philippe Chassé and Ipsita Datta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28469},
eprint = {2610.28469},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28469},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - On the stability of displacement energy in toric manifolds
AU - Jean-Philippe Chassé
AU - Ipsita Datta
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28469
UR - https://arxiv.org/abs/2610.28469
AB - We present a quantitative exploration of the behaviour of displacement energy of Lagrangians under stabilization. In particular, we completely characterize the displacement behaviour of toric fibres in Fano 4-manifolds. Our approach relates the geometry of the moment polytope's caustic to the structure of the (bulk-deformed) superpotential and to the presence of symmetric probes.
ER -