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<p>We describe some contact non-squeezing phenomena, first in lens spaces then in strongly orderable closed prequantizations in the sense of Liu (J Symplectic Geom 18(3):867–887, 2020). 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 (Ann Henri Lebesgue 8, 67–100 (2025)). In the latter case the contact capacity comes from the order spectral selectors constructed by Allais and the author (Commun Contemp Math, 27(5), 2550071 (2025)).</p>

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Contact non-squeezing in various closed prequantizations

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Pierre-Alexandre Arlove

摘要

We describe some contact non-squeezing phenomena, first in lens spaces then in strongly orderable closed prequantizations in the sense of Liu (J Symplectic Geom 18(3):867–887, 2020). 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 (Ann Henri Lebesgue 8, 67–100 (2025)). In the latter case the contact capacity comes from the order spectral selectors constructed by Allais and the author (Commun Contemp Math, 27(5), 2550071 (2025)).