Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form
نویسندگان
چکیده
For 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 in [MZ]. 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.
منابع مشابه
Eta-invariants, torsion forms and flat vector bundles
We present a new proof, as well as a C/Q extension, of the RiemannRoch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the computations of the adiabatic limits of ηinvariants associated to the so-called sub-signature operators. We further show that the Bismut-Lott analytic torsion form can be derived naturally from the transgression of the η-forms appea...
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