Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus

التفاصيل البيبلوغرافية
العنوان: Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus
المؤلفون: Morabito, Francesco, Trifa, Ibrahim
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Symplectic Geometry, 53D40 37E30
الوصف: Given a pre-monotone Lagrangian link, we obtain Hofer energy estimates for Hamiltonian diffeomorphisms preserving it. Such estimates depend on the braid type of the Hamiltonian diffeomorphism only, and the natural language to talk about this phenomenon is provided by a family of norms on braid groups for surfaces with boundary. This generalises the results obtained by the first author to higher genus surfaces with boundary.
Comment: Exposition has been improved and typos have been corrected. No changes to the main result have been made
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2404.01052Test
رقم الانضمام: edsarx.2404.01052
قاعدة البيانات: arXiv