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Knots in $S^{2} x S^{1}$ derived from Sym(2, ℝ)

Sang Lee; Yongdo Lim; Chan-Young Park — 2000

Fundamenta Mathematicae

We realize closed geodesics on the real conformal compactification of the space V = Sym(2, ℝ) of all 2 × 2 real symmetric matrices as knots or 2-component links in $S^{2} \times S^{1}$ and show that these knots or links have certain types of symmetry of period 2.

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