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2 results for “superdeterminant”
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 Dτ=[δτ,d∇]D_τ=[δ_τ,d_\nabla], showing flat-regularized determinant's constancy.
result The flat-regularized determinant is constant in ττ when restricted to im(δτ)\mathrm{im}(δ_τ) under suitable assumptions.
differential operatorsflat-regularized determinantlocal constancyHodge codifferentialRay--Singer torsion
2025-05-06abs ↗pdf ↗