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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.

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2 results for “superdeterminant”

Nambu-Poisson Bracket on Superspacehep-th

Extends Nambu-Poisson bracket to superspace R^{n|m}.

problem No new problem introduced.

method Constructs Nambu-Poisson algebras of even degree functions using superdeterminant.

result Proves the n-ary bracket satisfies conditions for Nambu-Poisson bracket in R^{n|1} and R^{n|2}.

Nambu-Poisson bracket superspace superdeterminant Leibniz rule Filippov-Jacobi identity

2018-08-09abs ↗pdf ↗

On the local constancy of regularized superdeterminants along special families of differential operatorsmath.DG

Determinants remain constant along specific families of differential operators.

problem Local constancy of regularized determinants for differential operators.

method Analyzing families of operators

D_τ=[δ_τ,d_\nabla]

, showing flat-regularized determinant's constancy.

result The flat-regularized determinant is constant in

τ

when restricted to

\mathrm{im}(δ_τ)

under suitable assumptions.

differential operators flat-regularized determinant local constancy Hodge codifferential Ray--Singer torsion

2025-05-06abs ↗pdf ↗