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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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0111 · Jun 202519922001200920172026
1 result for “scan-property”
The tangle-valued 1-cocycle for knotsmath.GT

A new knot invariant using tangle-valued 1-cocycles.

problem Creating a strong and calculable knot invariant.
method Constructing a non-trivial combinatorial 1-cocycle L\mathbb{L} that takes values in H0(Θ;Z)H_0(Θ;\mathbb{Z}) with the scan-property.
result The Alexander tree is an isotopy invariant of knots, demonstrating the non-invertibility of specific knots.
knot invarianttangle-valued 1-cocycleAlexander treescan-propertyAlexander polynomials
2025-06-21abs ↗pdf ↗