Links and submersions to the plane on an open 3-manifold

التفاصيل البيبلوغرافية
العنوان: Links and submersions to the plane on an open 3-manifold
المؤلفون: Miyoshi, Shigeaki
سنة النشر: 2013
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, 57R30, 57R99, 57M99, 57R25
الوصف: We study the realization problem which asks if a given oriented link in an open 3-manifold can be realized as a fiber of a submersion to the Euclidean plane. We correct the results obtained before by the author which contains an error and certain imperfection, and investigate a necessary and sufficient condition for the realization in the words of well-known invariants. We obtain the condition expressed by the first homology group with mod 2 coefficient.
Comment: 18 pages, 2 figures, Journal of Topology and Analysis (2016)
نوع الوثيقة: Working Paper
DOI: 10.1142/S1793525316500266
URL الوصول: http://arxiv.org/abs/1304.6503
رقم الأكسشن: edsarx.1304.6503
قاعدة البيانات: arXiv
الوصف
DOI:10.1142/S1793525316500266