Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165633For a complex flat vector bundle over a fibered manifold, we consider the 1-parameter family of certain deformed sub-signature operators introduced by Ma-Zhang. We compute the adiabatic limit of the Bismut-Freed connection associated to this family and show that the Bismut-Lott analytic torsion form shows up naturally under this procedure.Differential Geometry58GXXAdiabatic limit, Bismut-Freed connection, and the real analytic torsion formtext