On volume-preserving vector fields and finite type invariants of knots

R. Komendarczyk; I. Volic

doi:10.1017/etds.2014.83

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arXiv · 1309.3361

On volume-preserving vector fields and finite type invariants of knots

R. Komendarczyk·I. Volic

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Abstract

We consider the general nonvanishing, divergence-free vector fields defined on a domain in three space and tangent to its boundary. Based on the theory of finite type invariants, we define a family of invariants for such fields, in the style of Arnold's asymptotic linking number. Our approach is based on the configuration space integrals due to Bott and Taubes.

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BibTeX RIS

R. Komendarczyk, I. Volic. 2013-12-30. On volume-preserving vector fields and finite type invariants of knots. https://doi.org/10.1017/etds.2014.83

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