PreprintCC BY 4.0arXiv
Geometric quantizazion and TYCZ coefficients of HyperKähler 4-manifolds
Abstract
In this paper we study conditions for the existence of a geometric quantization of a complete hyperKähler four manifold with an effective tri--Hamiltonian circle action and we show that the vanishing of the third coefficient a3 associated to these metrics is equivalent to flatness.
Related
- Second Chern class and Fujiki constants of hyperkähler manifolds
- Dynamical degrees of automorphisms of non-projective hyperkähler manifolds
- Lagrangian fibrations on hyperkahler manifolds have no multiple fibers in codimension one
- Finite Symplectic Automorphisms of Hyperkähler Manifolds of K3[n]-Type Act Trivially on Discriminant Groups
- HKT geometry on locally conformally hyperkähler manifolds
BibTeX
@misc{cristofori2026geometric,
title = {{Geometric quantizazion and TYCZ coefficients of HyperKähler 4-manifolds}},
author = {Simone Cristofori},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24578},
eprint = {2609.24578},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24578},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometric quantizazion and TYCZ coefficients of HyperKähler 4-manifolds
AU - Simone Cristofori
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24578
UR - https://arxiv.org/abs/2609.24578
AB - In this paper we study conditions for the existence of a geometric quantization of a complete hyperKähler four manifold with an effective tri--Hamiltonian circle action and we show that the vanishing of the third coefficient a_3 associated to these metrics is equivalent to flatness.
ER -