On the Polyak--Viro Vassiliev Invariant of Degree 4

Canadian mathematical bulletin

关键词: symmetric matrices;    eigenvalues;    elliptic surfaces;    K3 surfaces;    Néron--Severi group;    rational curves;    Diophantine equations;    arithmetic geometry;    algebraic geometry;    number theory;   

DOI  :  10.4153/CMB-2006-056-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Using the Polyak--Viro Gauss diagram formula forthe degree-4 Vassiliev invariant, weextend some previous results on positive knots andthe non-triviality of the Jones polynomialof untwisted Whitehead doubles.

【 授权许可】

Unknown