Homeomorphism groups of 2-manifolds with the virtual Rokhlin property

التفاصيل البيبلوغرافية
العنوان: Homeomorphism groups of 2-manifolds with the virtual Rokhlin property
المؤلفون: Lanier, Justin, Vlamis, Nicholas G.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, Mathematics - Dynamical Systems, Mathematics - Group Theory, 57K20, 54H11, 37B05, 20E45
الوصف: We introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2-manifolds whose homeomorphism groups have the virtual Rokhlin property. We also establish the analogous result for mapping class groups of 2-manifolds.
Comment: v3: Incorporated referee's comments, the article has been accepted for publication by the Journal of Topology. v2: Updated discussion in the introduction under geometric consequences; 25 pages, 3 figures
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2308.13138Test
رقم الانضمام: edsarx.2308.13138
قاعدة البيانات: arXiv