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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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2 results for “Z-genus”

The

\mathbb{Z}

-genus of boundary linksmath.GT

Characterizes the Z-genus of boundary links using Blanchfield forms.

problem Determining the Z-genus of boundary links.

method Characterization using Blanchfield forms.

result Variant of shake genus equals Z-genus of knot.

Z-genus boundary links Blanchfield forms knot theory genus

2020-12-28abs ↗pdf ↗

A note on the concordance

\mathbb{Z}

-genusmath.GT

Study shows knots can have large genus difference from concordance.

problem Understanding genus differences in knots and surfaces.

method Analyzes the topological 4-genus and minimal genus of bounded surfaces.

result Arbitrarily large genus difference between knots and their concordance.

knot theory genus concordance topology

2021-03-02abs ↗pdf ↗