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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.

168,932 papers · 148 categories

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3 results for “quasi-representations”

A categorification for the characteristic polynomial of matroidsmath.CO

The paper categorifies matroid characteristic polynomials using cohomology.

problem Categorifying matroid characteristic polynomials.

method Using quasi-representations, the paper constructs cohomology groups for matroids.

result The cohomology theory generalizes chromatic and characteristic cohomologies.

matroids cohomology categorification quasi-representation chromatic cohomology

2024-02-15abs ↗pdf ↗

Almost flat relative vector bundles and the almost monodromy correspondencemath.KT

Paper defines almost flat relative bundles and their correspondence with quasi-representations.

problem Understanding the equivalence of topological and smooth almost flatness.

method Introduces almost flatness for relative bundles, proves equivalence, and defines correspondence with quasi-representations.

result Equivalence of topological and smooth almost flatness and construction of almost flat bundles.

almost flat bundles relative bundles fundamental group quasi-representations enlargeability

2019-08-28abs ↗pdf ↗

On a family of unitary representations of mapping class groupsmath.GT

New unitary representations for mapping class groups without almost invariant vectors.

problem Understanding unitary representations of mapping class groups.

method Space of measured foliations and Teichmüller space.

result None of the representations has almost invariant vectors.

mapping class groups unitary representations measured foliations Teichmüller space almost invariant vectors

2019-06-04abs ↗pdf ↗