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СЕМИНАРЫ |
Петербургский топологический семинар им. В. А. Рохлина
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Space graphs with framed vertices and tangles В. М. Нежинскийab a Санкт-Петербургский государственный университет, математико-механический факультет b Российский государственный педагогический университет им. А. И. Герцена, г. Санкт-Петербург |
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Аннотация: The talk is devoted to the isotopic classification problem of graph embeddings in 3-space. For connected finite graphs with 2-chord framings we reduce the isotopic classification problem of embeddings of graphs with framed (= oriented rigid) vertices in 3-space to the isotopic classification problem of tangles. As a corollary we get an isotopic classification of the rational embeddings of 2-circle wedges with framed vertex in 3-space and of theta-graphs with framed vertices in 3-space. REFERENCES 1. Nezhinskij V.M., Maslova Yu.V. Links of graphs with framed vertices. Vestnik St.-Petersburg University. Ser. 1. 2012. Issue 2. P. 57-60. 2. Maslova Yu.V., Nezhinskij V.M. Two-chord framings of maximal trees. Zap. Nauchn. Sem. POMI. 2013. Vol. 412. 9 p. 3. Nezhinskij V.M., Maslova Yu.V. 2. Graphs with fibered verticis. Zap. Nauchn. Sem. POMI. 2013. Vol. 412. 6 p. |