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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.

168,742 papers · 148 categories

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7 results for “SageMath”

Characteristic Classes in Computer Algebramath.DG

Develops a SageMath framework for computing characteristic classes.

problem Computing characteristic classes in computer algebra systems.

method Chern-Weil approach, symbolic calculus, vector bundles, connections, mixed differential forms.

result Implementation and computation of characteristic classes in SageMath.

characteristic classes SageMath computer algebra Chern-Weil vector bundles

2020-06-21abs ↗pdf ↗

The KnotMosaics Package for SageMathmath.GT

KnotMosaics package simplifies knot theory computations in SageMath.

problem Efficiently computing knot mosaic diagrams and their properties.

method Developed a SageMath package for knot mosaic diagrams, implementing validation, strand tracing, and computation algorithms.

result Enabled easy computation of knot mosaic diagrams and their properties.

Knot Theory SageMath Knot Mosaics Jones Polynomial Knot Floer Homology

2026-05-13abs ↗pdf ↗

diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentialsmath.AG

SageMath package diffstrata calculates intersection theory on abelian differentials.

problem Computing intersection theory on the boundary of strata of abelian differentials.

method Explicit combinatorial description of the boundary, implemented algorithms in SageMath.

result Computes the Euler characteristic of strata using intersection theory.

SageMath abelian differentials intersection theory strata moduli space

2020-06-23abs ↗pdf ↗

SageMath experiments in Differential and Complex Geometrymath.DG

This note summarizes the talk by the author at the workshop "Geometry and Computer Science" held in Pescara in February 2017. We present how SageMath can help in research in Complex and Differential Geometry, with two simple applications, which are not intended to be original. We consider two "classification problems" …

2017-04-13abs ↗pdf ↗

The realization spaces of certain conic-line arrangements of degree 7math.AG

Study conic-line arrangements of degree 7, finding their topology and components.

problem Understanding the topology and components of conic-line arrangements of degree 7.

method Examined the embedded topology using SageMath and Sirocco package.

result Determined the number of connected components and fundamental groups.

conic-line arrangements degree 7 embedded topology fundamental groups SageMath

2024-09-08abs ↗pdf ↗

Computing Heegaard Floer invariants of closed contact 3-manifolds from open booksmath.GT

Programs compute Heegaard Floer invariants from open books.

problem Computing Heegaard Floer invariants of 3-manifolds.

method SageMath programs that analyze Heegaard diagrams and compute HF-hat.