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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.

168,657 papers · 148 categories

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3 results for “2k-moves”

Writhes and

2k

-moves for virtual knotsmath.GT

Virtual knots can be transformed by $2k$ -moves, affecting their writhes.

problem Understanding transformations between virtual knots using

2k

-moves.

method Analyzing the effect of

2k

-moves on writhes and congruence classes.

result Two virtual knots related by

2k

-moves have congruent odd writhes modulo

2k

virtual knots writhes 2k-moves congruence classes

2023-09-14abs ↗pdf ↗

Untwisting number and Blanchfield pairingsmath.GT

In this note we use Blanchfield forms to study knots that can be turned into an unknot using a single $\overline{t}_{2k}$ move.

2017-09-29abs ↗pdf ↗

Two strand twistingmath.GT

Study shows fibred knots can't be untied with specific moves.

problem Untangling fibred knots with specific moves.

method Analyzes fibred knots and their untangling with $ar{t}_{2k}$-moves.

result Upper bound on two strand twist operations for untangling knots.

knot theory fibred knots untangling two strand twist HOMFLY polynomial

2022-09-14abs ↗pdf ↗