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arXiv 1105.6007math.APmath.ATmath.DGmath.SP
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p-形式的精确Arabius定律:Witten Laplacian和Morse-Barannikov复形

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

Dorian Le Peutrec, Francis Nier, Claude Viterbo

摘要:

给出了Witten Laplacian算子作用于p-形式的指数小特征值的精确渐近表达式。在p = 0的情况下,取代全局准模的显式公式的关键因素是Barannikov提出的莫尔斯理论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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