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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.

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2 results for “GOF-knots”

Genus one fibered knots in 3-manifolds with reducible genus two Heegaard splittingsmath.GT

The study identifies GOF-knots in 3-manifolds with reducible genus two Heegaard splittings.

problem Determining GOF-knots in 3-manifolds with reducible genus two Heegaard splittings.

method Using a necessary and sufficient condition for decomposing a genus two handlebody, the study identifies GOF-knots by analyzing simple closed curves on the Heegaard surface.

result The number and positions of GOF-knots in 3-manifolds with reducible genus two Heegaard splittings are determined.

GOF-knots 3-manifolds Heegaard splittings genus two reducible

2017-04-28abs ↗pdf ↗

Complete classification of generalized crossing changes between GOF-knotsmath.GT

Classifies changes between genus one fibered knots.

problem Understanding changes between genus one fibered knots.

method Analyzed all monodromies and determined manifolds.

result Classified all generalized crossing changes between genus one fibered knots.

genus one fibered knots monodromies manifolds generalized crossing changes

2017-05-18abs ↗pdf ↗