PreprintCC BY 4.0arXiv
Sheaves on quoric manifolds
Abstract
Quoric manifolds are quaternionic analogues of quasitoric manifolds introduced by Hopkinson. Given a quoric manifold over a simple polytope, we study the stratification induced by the faces of the polytope. We then show that the equivariant derived category of constructible sheaves with respect to the face stratification is equivalent to the derived category of constructible DG-modules over a DG-algebra defined on the orbit space. Finally, we prove that the associated DG-algebra is formal.
Related
- Parabolic Bogomolov--Gieseker Inequality and Pluriharmonic Metrics on Regular Parabolic Higgs Sheaves over Compact Kähler Manifolds
- Limits of Hyperkähler Manifolds and Moduli Spaces of Sheaves on K3 Surfaces
- From Yoneda to the Kernel Trick, from Sheaves to SVD: Ideas for Music Generation
- Free-Monodromic Mixed Tilting Sheaves on Flag Varieties
- Refined proper descent for left completed sheaves on locally compact Hausdorff spaces
BibTeX
@misc{aravanis2026sheaves,
title = {{Sheaves on quoric manifolds}},
author = {Christos Aravanis and Ioannis Gkeneralis},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38456},
eprint = {2610.38456},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38456},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sheaves on quoric manifolds
AU - Christos Aravanis
AU - Ioannis Gkeneralis
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38456
UR - https://arxiv.org/abs/2610.38456
AB - Quoric manifolds are quaternionic analogues of quasitoric manifolds introduced by Hopkinson. Given a quoric manifold over a simple polytope, we study the stratification induced by the faces of the polytope. We then show that the equivariant derived category of constructible sheaves with respect to the face stratification is equivalent to the derived category of constructible DG-modules over a DG-algebra defined on the orbit space. Finally, we prove that the associated DG-algebra is formal.
ER -