INPUT manifest 1/1; D1422 sha16 278998b3c187b0b4
RECEIPT half*q^T*g*q at (1,1), tau=1+2i: 2
DISC identity EXACT: p=(q0+i*q1)+(-q0+i*q1)*w; h=1/[2(1-|w|^2)]
CHARGE representation weight nu=-1: all degree<=1 polynomials invariant; raising test EXACT
INVARIANT BILINEARS exact dimension1, spanned by antisymmetric epsilon^tensor3; symmetric dimension0
METRIC exact: ds^2=2|dw|^2/(1-|w|^2)^2; area=2*dA/(1-|w|^2)^2; curvature=-2
BIDISC/LIE-BALL polynomial factorization EXACT; no domain-volume scale supplied
BERGMAN integral pi/(nu-1) for Re(nu)>1; continued c_nu=(nu-1)/pi
BLIND c_-1=-2/pi; three-factor product=-8/pi^3
ACTUAL nu=-1 cutoff integral pi/2*(eta^-2-1) -> +infinity, eta -> 0+
KERNEL at nu=-1: 1-w*conj(z); Gram(0,1/2) determinant=-1/4; tensor coefficient inertia (4+,4-)
NORMALIZATION exact: dmu->a*dmu, kernel->kernel/a; normalized kernels, projectors and expectations unchanged
MATHEMATICAL nu=1 candidate: positive Hardy kernel (1-w*conj(z))^-1; pullback potential K_D
COHERENT symbol check: <F_q>=half*q^T*g*q; max residual 8.882e-16
BEREZIN Hodge-symbol averaging EXACT for nu>2: B_nu f_q=nu/(nu-2)*f_q; not c_nu*f_q
BEREZIN independent area quadrature residual 2.665e-15
SCOPE: positive candidate Hilbert constructions exist; the charge polynomial module is not one.
SCOPE: no physical-state/current/action matching, no coupling comparison, no source-file edits.
D1422 COMPLETE
D1422-END-d3069391ab9b
