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Relative Chern character number and super-connection

Name: Relative Chern character number and super-connection
Creator: Dexie Lin
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), 0103 physical sciences, FOS: Mathematics, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2018Embargo end date: 01 Jan 2017Publisher:Elsevier BVJournal:Topology and its Applications, volume 234, pages 155-165 (issn: 0166-8641,

Authors: Dexie Lin;

doi: 10.1016/j.topol.2017.11.035 , 10.48550/arxiv.1703.09352

arXiv: http://arxiv.org/abs/1703.09352

Relative Chern character number and super-connection

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Abstract

For two complex vector bundles admitting a homomorphism, whose singularity locates in the disjoint union of some odd--dimensional spheres, we give a formula to compute the relative Chern characteristic number of these two complex vector bundles. In particular, for a spin manifold admitting some sphere bundle structure, we give a formula to express the index of a special twisted Dirac operator.

manuscript revision

Related Organizations

University of Tokyo
Japan

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

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