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On volume-preserving vector fields and finite-type invariants of knots
Published online by Cambridge University Press: 06 November 2014
Abstract
We consider the general non-vanishing, divergence-free vector fields defined on a domain in $3$-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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- © Cambridge University Press, 2014
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