5-22【Dylan Cant】 Lengths of Reeb chords and Viterbo restriction

发布时间:2026-05-07来源:几何与物理研究中心中文网页浏览次数:10

报告人:Dylan Cant(蒙特利尔大学

时间:2026年5月22日10:00-11:00

地点:物质科研楼C1124

  

  

We develop a version of Viterbo restriction map $SH(W)\to SH(T^{*}\Lambda)$ whenever $\Lambda$ is embedded as a Legendrian in the ideal boundary of $W$ without any Reeb chords for some contact form, generalizing earlier work in this direction by Zhengyi Zhou. Using this, we prove that, if $W=T^{*}M$ and the universal cover of $M$ is a product of spheres (e.g., the $n$-torus), then all compact Legendrians $\Lambda\subset ST^{*}M$ admit a Reeb chord for every choice of contact form $ST^{*}M$. This is based on joint work with Filip Broćić.