On-device research index

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 “crossing-free”

Rerouting Curves on Surfacescs.CG

We study rerouting edges on surfaces without crossings.

problem Reconfiguring edge paths on surfaces without crossing.

method Rerouting one edge at a time, maintaining crossing-free intermediate embeddings.

result Reconfiguration is always possible on the torus and any orientable surface of genus at least one.

surface reconfiguration torus crossing-free edge rerouting orientable surfaces

2026-07-06abs ↗pdf ↗

Generalized Pseudo-Anosov Maps and Hubbard Treesmath.DS

New connection found between complex polynomials and surface homeomorphisms.

problem Investigating the existence of generalized pseudo-Anosov maps from quadratic polynomials.

method Developed a new connection between dynamics of quadratic polynomials and surface homeomorphisms, focusing on Hubbard trees.

result Identified conditions for constructing generalized pseudo-Anosov maps from quadratic polynomials.

Generalized pseudo-Anosov Hubbard tree Quadratic polynomial Complex dynamics Surface homeomorphisms

2024-05-23abs ↗pdf ↗

Atomic Embeddability, Clustered Planarity, and Thickenabilitycs.CG

We study the atomic embeddability testing problem, which is a common generalization of clustered planarity (c-planarity, for short) and thickenability testing, and present a polynomial-time algorithm for this problem, thereby giving the first polynomial-time algorithm for c-planarity. C-planarity was introduced in 1995…

2019-07-30abs ↗pdf ↗