2024/09/16 by Pierre-Alexandre Arlove, Arlove, Pierre-Alexandre
Engineering · #53D10 #57R17 #58B20 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Manufacturing Process and Optimization #Symplectic Geometry (math.SG) #Tribology and Lubrication Engineering
paper · pdf · doi:10.48550/arxiv.2409.10334
openalex publication_date 2024/09/16 · openalex created_date 2024/10/24 · openalex updated_date 2026/07/28
We describe some contact non-squeezing phenomena, first in lens spaces then in strongly order able closed prequantizations in the sense of Liu. To detect and quantify these non-squeezing phenomena we define and compute two different contact capacities. In the former case the contact capacity comes from the spectral selectors constructed by Allais, Sandon and the author by the means of generating functions and Givental's non-linear Maslov index. In the latter case the contact capacity comes from the order spectral selectors constructed by Allais and the author.