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

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

2004-05-14

arxiv.org/abs/math/0405264v1

Mathematics

Symplectic Geometry

10 pages, no figure

Scientific paper

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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