Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow
Symplectic Geometry
2007-05-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0405264,
title = {Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow},
author = {Kenro Furutani},
journal= {arXiv preprint arXiv:math/0405264},
year = {2007}
}
Comments
10 pages, no figure