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arXiv research

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.

168,695 papers · 148 categories

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2 results for “plat-equivalence”

An algorithmic method to compute plat-like Markov moves for genus two 3-manifoldsmath.GT

Algorithm finds plat-equivalence words for genus 2 3-manifolds.

problem Equivalence of links in genus 2 3-manifolds.

method Algorithm implemented in c++ to find plat-equivalence words in braid groups.

result Extends genus 1 results to genus 2, describing words for notable manifolds.

3-manifolds plat-equivalence genus 2 braid groups algorithm

2021-12-27abs ↗pdf ↗

The mixed Hilden braid group and the plat equivalence in handlebodiesmath.GT

Proves knots in handlebodies can be represented as plats of braids.

problem Representing knots in handlebodies as plats of braids.

method Established Hilden braid group and mixed braid group, proving algebraic equivalence.

result Plat closure representation for knots in handlebodies.

handlebody knot plat equivalence braid algebraic equivalence

2023-12-17abs ↗pdf ↗