一些譜不變量及其相關問題之研究;A Study on Some Spectral Invariants and Related Problems

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/63137

Title:	一些譜不變量及其相關問題之研究;A Study on Some Spectral Invariants and Related Problems
Authors:	黃榮宗
Contributors:	國立中央大學數學系
Keywords:	數學
Date:	2012-12-01
Issue Date:	2014-03-17 14:19:55 (UTC+8)
Publisher:	行政院國家科學委員會
Abstract:	研究期間：10108~10207;Some spectral invariants and related problems The proposed research focuses on three refinements of the Ray-Singer torsion introduced by Braverman-Kappeler, by Burghelea-Haller and by Cappell-Miller. These three spectral invariants are topological invariants and defined using determinants of certain non-self-adjoint operators and are closely related to the Turaev's refinement of the Reidemeister torsion. In this project, the PI plans to extend these three analytic torsions to manifolds with boundary, derive the gluing formulas of these torsions and explore the relationships among these torsions.
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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