Hyperfinite knots via the CJKLS invariant in the thermodynamic limit

Details Hyperfinite knots via the CJKLS invariant in the thermodynamic limit Hyperfinite knots via the CJKLS invariant in the thermodynamic limit

2006-07-07

arxiv.org/abs/math/0607195v2

Mathematics

Geometric Topology

25 pages, 14 figures; references added to second version

Scientific paper

We set forth a definition of hyperfinite knots. Loosely speaking, these are
limits of certain sequences of knots with increasing crossing number. These
limits exist in appropriate closures of quotient spaces of knots. We give
examples of hyperfinite knots. These examples stem from an application of the
Thermodynamic Limit to the CJKLS invariant of knots.

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