1 citations · 1 across the 4 of their papers we have counts for
4 papers
Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow
Kenro Furutani
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 spe…
A Kaehler structure on the punctured cotangent bundle of the Cayley projective plane
Kenro Furutani
We construct a Kaehler structure on the punctured cotangent bundle of the Cayley projective plane whose Kaehler form coincides with the natural symplectic form on the cotangent bun…
Quantization of the Geodesic flow on Quaternion Projective Spaces
Kenro Furutani
We study a problem of the geometric quantization for the quaternion projective space. First we explain a Kaehler structure on the punctured cotangent bundle of the quaternion proje…
Maslov index in the infinite dimension and a splitting formula for a spectral flow
Kenro Furutani, Nobukazu Otsuki
First, we prove a local spectral flow formula (Theorem 3.7) for a differentiable curve of selfadjoint Fredholm operators. This formula enables us to prove in a simple way a general…