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arxiv: 1306.0389 · v2 · submitted 2013-06-03 · 🧮 math.DG

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Localization of Dirac Operators on 4n+2 Dimensional Open Spin^c Manifolds

Shin Hayashi
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classification 🧮 math.DG
keywords diracindexdimensionallocalizationopenoperatorspinbundle
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An integer valued topological index of a Dirac operator is introduced for a pair of a 4n+2 dimensional open Spin^c manifold and a section of the determinant line bundle satisfying some property. We show a relation between the index and an index of a Dirac operator of its characteristic submanifold, by a localization of K-class.

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