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.

168,742 papers · 148 categories

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5 results for “k-color”

K-color region select gamemath.GT

Generalizes region select game to $k$ -colored knot diagrams.

problem Play game on knot diagrams with multiple colors.

method Generalize region select game to

k

-colored knot diagrams.

result Generalization of the region select game to

k

-colored knot diagrams.

k-color region select game knot diagrams region crossing change unknotting operation

2022-05-06abs ↗pdf ↗

Link homology and loop homologymath.GT

Homology of torus knots stabilizes to loop space homology.

problem Computing homology of complex Grassmannians and torus knots.

method Colored

\mathfrak{sl}(N)

homology and free loop space computation.

result Khovanov homology of torus knots stabilizes to loop space homology.

Khovanov homology torus knots loop spaces Grassmannians stabilization

2026-04-28abs ↗pdf ↗

Quantum (sl_n, \land V_n) link invariant and matrix factorizationsmath.GT

M. Khovanov and L. Rozansky gave a categorification of the HOMFLY-PT polynomial. This study is a generalization of the Khovanov-Rozansky homology. We define a homology associated to the quantum $(sl_n,\land V_n)$ link invariant, where $\land V_n$ is the set of the fundamental representations of the quantum group of $sl…

2009-06-01abs ↗pdf ↗

A Sublinear-Time Quantum Algorithm for Approximating Partition Functionsquant-ph

Quantum algorithm speeds up Gibbs partition function estimation.

problem Estimating partition functions in sublinear time.

method Sublinear-time quantum algorithm using quantum phase and amplitude estimation.

result First sublinear-time speed-up for partition function estimation.

quantum algorithms partition functions sublinear time Gibbs sampling amplitude estimation

2022-07-18abs ↗pdf ↗

Random Colorings in Manifoldsmath.GT

Develops a method for random manifolds and submanifolds, focusing on 3-ball knots.

problem Understanding random submanifolds in triangulated manifolds.

method Coloring vertices of triangulated manifolds to generate random submanifolds.

result Probability of generating an unknot decays exponentially in 3-ball with 3 colors.

Random manifolds Triangulated manifolds Stiefel-Whitney classes Random knots Homological percolation

2022-07-08abs ↗pdf ↗