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Hamiltonian-Type Spectral Functionals for Time-Dependent Perturbed Hodge--de Rham Operators
Let $g_t$ be a smooth family of Riemannian metrics on an oriented manifold of even dimension $n\geq4$, and let $D_t=d+δ_{g_t}+Ψ_t$ on the fixed exterior bundle, with $Ψ_t$ self-adjoint. We evaluate a scalar-weighted residue functional obtained from the operator expression in Hawkins' Hamiltonian act
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