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Published May 18, 2025 | Version v3
Model Open

Unknotting problem

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Description

Claim: complete solution of the Unknotting problem, with a polynomial-time decision algorithm.
Key step: a self-adjoint resonance operator on the knot configuration space; its stability functional SKS_KSK is maximal iff KKK is the unknot, yielding an O ⁣(c(K)5)O\!\bigl(c(K)^5\bigr)O(c(K)5) algorithm.

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knots updates.txt

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