2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73569We prove that the trace of the logarithmic term of the Toeplitz kernel on a contact manifold is a contact invariant, generalizing K. Hirachi's invariant for the Szego kernel on a CR manifold. When the base manifold is the three-sphere, this vanishes identically.10 pagesComplex VariablesDifferential Geometry32A25; 58J40; 35S30Logarithmic Trace of Toeplitz Projectorstext