紧李群在球面上的多辛作用
辛几何
2025-11-06 v2 数学物理
微分几何
群论
math.MP
摘要
我们研究了将高维球面视为多辛流形时其同伦 comoment 映射（comoments）的存在性。特别地，我们解决了球面上紧有效群作用的存在性问题，并在有趣的特例中给出了此类 comoments 的显式构造。
关键词
引用
@article{arxiv.1906.08790,
title = {Multisymplectic actions of compact Lie groups on spheres},
author = {Antonio Michele Miti and Leonid Ryvkin},
journal= {arXiv preprint arXiv:1906.08790},
year = {2025}
}
备注
26 pages; Corrected and added some references to the literature, especially regarding the cohomological obstructions to the existence of comoments in multisymplectic geometry. The abstract and introduction are changed accordingly, laying more focus on the second part of the publication. Implemented several minor revisions related to typos and inconsistencies in notation