Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109232

Title:	Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions
Authors:	黃榮宗;Huang, Rung-Tzung;Lee, Yoonweon
Contributors:	理學院數學系
Keywords:	Algebraic Geometry;Convex and Discrete Geometry;Differential Geometry;Hyperbolic Geometry;Mathematics;Mathematics and Statistics;Original Paper;Projective Geometry;Topology
Date:	2016-04-01
Issue Date:	2026-04-23 16:17:04 (UTC+8)
Publisher:	Springer Netherlands;Dordrecht: Springer Netherlands
Abstract:	摘要： In Huang and Lee (in The Refined Analytic Torsion and a Well-posed Boundary Condition for the Odd Signature Operator, 2010 ) introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of global boundary conditions to discuss the refined analytic torsion on a compact manifold with boundary. In this paper we discuss the Lefschetz fixed point formula on these complexes with respect to a smooth map which is a local isometry on the boundary and has only simple fixed points. For this purpose we are going to use the heat kernel method for the Lefschetz fixed point formula. 其他題名： Geom Dedicata 出版者： Dordrecht: Springer Netherlands 出版日期： 2016-04 出處： Geometriae dedicata, 2016-04, Vol.181 (1), p.43-59 版權： Springer Science+Business Media Dordrecht 2015 識別號： ISSN: 0046-5755 識別號： EISSN: 1572-9168 識別號： DOI: 10.1007/s10711-015-0111-7
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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