Abstract
We consider a complex fibration\(F \to M\xrightarrow{\pi }B\) and pull back bundlesE 1 andE 2 overM. Using the adiabatic limit idea, we compute the metric invariantT p(E1)/Tp(E2), whereT p(E) denotes the complex Ray-Singer torsion.
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Laederich, S. \(\bar \partial \)-Torsion for complex manifolds and the adiabatic limit-Torsion for complex manifolds and the adiabatic limit. Commun.Math. Phys. 146, 91–102 (1992). https://doi.org/10.1007/BF02099209
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DOI: https://doi.org/10.1007/BF02099209