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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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1122 · Jun 202619922001200920172026
2 results for “KV-cohomology”
Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(r) and Galilei group SGal(3)math.DG

The cohomology of affine structures on Lie groups is compared with that of Koszul-Vinberg algebras.

problem Comparing De Rham cohomology and KV-cohomology on Lie groups SO(2), H3(R), and Galilei group SGal(3).
method Constructing a three vertex directed graph connecting associative algebras, KV-cohomology, and Lie groups.
result Evaluating the algebraic quotient of the cohomology groups.
Lie groupsKV-cohomologyDe Rham cohomologyaffine structuresHeisenberg group
2026-06-21abs ↗pdf ↗
Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(R) and Galilei group SGal(3)math.DG

Study on deformation of affine structures on Lie groups using cohomology.

problem Understanding the gap between global topological invariants and left-invariant affine structures.
method Comparing De Rham and Koszul-Vinberg cohomology groups on Lie groups SO(2), H3(R), and SGal(3).
result Vanishing theorem for the second KV-cohomology group, proving structural rigidity of orbits.
Lie groupsaffine structurescohomologyKoszul-VinbergDe Rham
2026-06-21abs ↗pdf ↗