Geometric criteria for overtwistedness
英文摘要：
We establish geometric criteria to decide whether a contact manifold is overtwisted. Starting with the original definition, we first relate the different overtwisted disks in each dimension and show that a manifold is overtwisted if the Legendrian unknot is loose. Then we characterize overtwistedness in terms of open book decompositions and provide several applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
