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A Survey on the Differential and Symplectic Geometry of Linking Numbers

✍ Scribed by Mauro Spera

Book ID
105766641
Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
992 KB
Volume
74
Category
Article
ISSN
1424-9286

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📜 SIMILAR VOLUMES

A Note on the Geometry of Numbers
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✍ A. Schrijver 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 424 KB

We show that if \(G\) is a graph embedded on the torus \(S\) and each nonnullhomotopic closed curve on \(S\) intersects \(G\) at least \(r\) times, then \(G\) contains at least \(\left\lfloor\frac{3}{4} r\right\rfloor\) pairwise disjoint nonnullhomotopic circuits. The factor \(\frac{3}{4}\) is best