Precise Arrhenius Law for p-forms: The Witten Laplacian and Morse–Barannikov Complex
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- 作者：Dorian Le Peutrec (1)
Francis Nier (2)
Claude Viterbo (3) (4) - 刊名：Annales Henri Poincare
- 出版年：2013
- 出版时间：April 2013
- 年：2013
- 卷：14
- 期：3
- 页码：567-610
- 全文大小：655KB
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Francis Nier (2)
Claude Viterbo (3) (4)
1. Département de Mathématiques, UMR-CNRS 8628, Bat. 425, Université Paris 11, 91405, Orsay Cedex, France
2. IRMAR, UMR-CNRS 6625, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France
3. CMLS, UMR-CNRS 7640, Ecole Polytechnique, 91128, Palaiseau Cedex, France
4. Eilenberg Chair for Spring 2011?at Columbia University, New York, USA - ISSN：1424-0661
文摘
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 in Barannikov (Adv Soviet Math 21:93-15, 1994).