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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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0111 · Mar 199919922001200920172026
5 results for 2-gons

The reductivity of a spherical curve is the minimal number of a local transformation called an inverse-half-twisted splice required to obtain a reducible spherical curve from the spherical curve. It is unknown if there exists a spherical curve whose reductivity is four. In this paper, an unavoidable set of configuratio…

2017-05-06abs ↗pdf ↗

Paper explores relationships between triple chords and a specific homotopy relation in knot theory.

problem Understanding the relationship between triple chords and a homotopy equivalence class in knot theory.
method Analyzes the number of triple chords and their connection to the strong (1, 2) homotopy equivalence class.
result Prime knot projections are trivialized by strong (1, 2) homotopy if they have no triple chords.

Let M and N be even-dimensional oriented real manifolds, and u:MNu:M \to N be a smooth mapping. A pair of complex structures at M and N is called u-compatible if the mapping u is holomorphic with respect to these structures. The quotient of the space of u-compatible pairs of complex structures by the group of u-equivaria…

1999-03-04abs ↗pdf ↗