Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow

2004/05/14 by Kenro Furutani, Furutani, Kenro
Mathematics · #53D12 #58J30 #58J32 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D12 #msc:58J30 #msc:58J32

paper · pdf · doi:10.48550/arxiv.math/0405264

10 pages, no figure

arxiv created 2004/05/14 · arxiv updated 2009/12/01

Abstract

We describe a relation between Atiyah-Patodi-Singer boundary condition and a global elliptic boundary condition which naturally appears in formulating a splitting formula for a spectral flow, when we decompose the manifold into two components. Then we give a variant of the splitting formula with the Hoermander index as a correction term.

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