On volume-preserving vector fields and finite-type invariants of knots
2014 ◽
Vol 36
(3)
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pp. 832-859
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Keyword(s):
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.
2012 ◽
Vol 53
(1)
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pp. 265-281
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Keyword(s):
2004 ◽
Vol 119
(1)
◽
pp. 5-9
Keyword(s):
2008 ◽
Vol 237
(2)
◽
pp. 156-166
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Keyword(s):
2016 ◽
Vol 113
(8)
◽
pp. 2035-2040
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Keyword(s):
2007 ◽
Vol 8
(3)
◽
pp. 335-355
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Keyword(s):
2007 ◽
Vol 27
(5)
◽
pp. 1399-1417
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2000 ◽
Vol 35
(4)
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pp. 589-596
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