Cosymplectomorphism群的同构性质于流形的微分同构
计算与语言
2026-02-09 v1
摘要
我们证明，如果两个紧致、连通且规则的cosymplectic流形，其cosymplectomorphism群(作为拓扑群)同构，则其 underlying 流形必为微分同构. 证明过程通过将Reeb流 characterized为群的中心，并将同构性质下降到符号基流形上来实现. 我们进一步表明，同构性质保留了映射丛的monodromy的同构类，这确保了束结构及其因此而等价的总空间.
引用
@article{arxiv.2602.06307,
title = {Lost in Speech: Benchmarking, Evaluation, and Parsing of Spoken Code-Switching Beyond Standard UD Assumptions},
author = {Nemika Tyagi and Holly Hendrix and Nelvin Licona-Guevara and Justin Mackie and Phanos Kareen and Muhammad Imran and Megan Michelle Smith and Tatiana Gallego Hernande and Chitta Baral and Olga Kellert},
journal= {arXiv preprint arXiv:2602.06307},
year = {2026}
}
备注
18 pages, 4 Figures