Displaying similar documents to “Lectures on Witten-Helffer-Sjöstrand theory.”

Invariant torsion and G2-metrics

Diego Conti, Thomas Bruun Madsen (2015)

Complex Manifolds

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We introduce and study a notion of invariant intrinsic torsion geometrywhich appears, for instance, in connection with the Bryant-Salamon metric on the spinor bundle over S3. This space is foliated by sixdimensional hypersurfaces, each of which carries a particular type of SO(3)-structure; the intrinsic torsion is invariant under SO(3). The last condition is sufficient to imply local homogeneity of such geometries, and this allows us to give a classification. We close the circle by showing...

Reidemeister Torsion and Analytic Torsion of Discs

T. de Melo, L. Hartmann, M. Spreafico (2009)

Bollettino dell'Unione Matematica Italiana

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We study the Reidemeister torsion and the analytic torsion of the m-dimensional disc in the Euclidean m-dimensional space, using the base for the homology defined by Ray and Singer in [10]. We prove that the Reidemeister torsion coincides with the square root of the volume of the disc. We study the additional terms arising in the analytic torsion due to the boundary, using generalizations of the Cheeger-Müller theorem. We use a formula proved by Brüning and Ma [1], that predicts a new...