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A Frobenius problem
on the knot space
Ron G. Wang |
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Vol. 171 (1995), No. 2, 545–567
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Abstract |
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According to J.-L. Brylinski, there is a natural almost complex structure J on the space K of all knots in the Euclidean space R3. The almost complex structure is formally integrable on K, i.e, the Nijenhuis tensor of J vanishes. The problem is whether J is integrable and hence K is a complex manifold. In this paper, we study the integrability of J explicitly in view point of a Frobenius problem. |
Mathematical Subject Classification 2000
Primary: 58B20
Secondary: 57M25, 57R15, 58D10
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Milestones
Received: 23 March 1993
Revised: 3 February 1994
Published: 1 December 1995
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Authors |
| Ron G. Wang | |
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