2023/04/13 by Jian Qiu, Qiu, Jian · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Fluorescence Microscopy Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Photonic and Optical Devices #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2304.06792
openalex publication_date 2023/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The `brane quantisation' is a quantisation procedure developed by Gukov and Witten \citeGukov:2008ve. We implement this idea by combining it with the tilting theory and the minimal resolutions. This way, we can realistically compute the deformation quantisation on the space of observables acting on the Hilbert space. We apply this procedure to certain quantisation problems in the context of generalised Kähler structure on ℙ2. Our approach differs from and complements that of Bischoff and Gualtieri \citeBischoff:2021ixy. We also benefitted from an important technical tool: a combinatorial criterion for the Maurer-Cartan equation, developed in \citeBarmeierWang by Barmeier and Wang.