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arxiv: math/9712269 · v1 · pith:2ZI34D25new · submitted 1997-12-30 · 🧮 math.GT

Algorithms for recognizing knots and 3-manifolds

Joel Hass This is my paper
classification 🧮 math.GT
keywords algorithmsapproachdimensionaldiscusseshakenknotsmanifoldsparticular
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This is a survey paper on algorithms for solving problems in 3-dimensional topology. In particular, it discusses Haken's approach to the recognition of the unknot, and recent variations.

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    cs.CG 2026-07 unverdicted novelty 7.0

    For 1-manifolds in R^2, vineyard monodromy on small loops arises precisely when the loop intersects a singularity of the distance function on the symmetry set.