A Gaussian function is associated to a knot via its Alexander module presentation matrix such that the partition function recovers the Alexander polynomial Δ_K(T).
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A fast polynomial-time knot invariant pair (Δ, θ) with superior distinguishing power on small knots, a genus bound, and simpler formulas for a previously studied quantity.
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Tensors, Gaussians and the Alexander Polynomial
A Gaussian function is associated to a knot via its Alexander module presentation matrix such that the partition function recovers the Alexander polynomial Δ_K(T).
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A Fast, Strong, Topologically Meaningful and Fun Knot Invariant
A fast polynomial-time knot invariant pair (Δ, θ) with superior distinguishing power on small knots, a genus bound, and simpler formulas for a previously studied quantity.