تقرير
Spectral selectors on lens spaces and applications to the geometry of the group of contactomorphisms
| العنوان: | Spectral selectors on lens spaces and applications to the geometry of the group of contactomorphisms |
|---|---|
| المؤلفون: | Allais, Simon, Arlove, Pierre-Alexandre, Sandon, Sheila |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry, Mathematics - Geometric Topology |
| الوصف: | Using Givental's non-linear Maslov index we define a sequence of spectral selectors on the universal cover of the identity component of the contactomorphism group of any lens space. As applications, we prove for lens spaces with equal weights that the standard Reeb flow is a geodesic for the discriminant and oscillation norms, and we define for general lens spaces a stably unbounded conjugation invariant spectral pseudonorm. Comment: 25 pages. Second version: we correct a mistake concerning the period of the Reeb flow on lens spaces with general weights and affecting in particular Corollary 1.5, which was stated in more generality than what we can actually prove |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.13689 |
| رقم الأكسشن: | edsarx.2402.13689 |
| قاعدة البيانات: | arXiv |
كن أول من يترك تعليقا!