Lectures on Chern-Weil Theory and Witten Deformations

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Analytic Torsion on Manifolds with Edges (2011, methodology): “Amongst these we mention in particular the ones based on Witten deformation [32] and ‘analytic surgery’ [18].”
Positive scalar curvature on foliations (2015, methodology): “We proceed as in [31, Proof of Lemma 1.14].”
Precise Arrhenius Law for p-forms: The Witten Laplacian and Morse–Barannikov Complex (2011, unknown): “lly small quantities). For all these reasons, the study of exponentially small eigenvalues of ∆(p) f,h for a general p, is a natural question which is also encountered in geometry (see 3 for instance [Zha][BiLe][Bis2] and references therein) or in statistical physics (see [TTK]). A ﬁrst attempt was ”