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

Kenro Furutani
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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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Kenro Furutani. 2004-05-14. Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow. https://arxiv.org/abs/math/0405264

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