Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex

Claude Viterbo (CMLS-EcolePolytechnique); Dorian Le Peutrec (LM-Orsay); Francis Nier (IRMAR)

arxiv: 1105.6007 · v1 · pith:RHKHRCWKnew · submitted 2011-05-30 · 🧮 math.AP · math.AT· math.DG· math.SP

Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex

Dorian Le Peutrec (LM-Orsay) , Francis Nier (IRMAR) , Claude Viterbo (CMLS-EcolePolytechnique) This is my paper

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keywords p-formswittenaccurateactingarrheniusasymptoticbarannikovcase

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Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for global quasimodes in the case p = 0, is Barannikov's presentation of Morse theory.

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Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex

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