11 citations · 25 across the 13 of their papers we have counts for
4 papers · 1 filter
A Danilov-type formula for toric origami manifolds via localization of index
Hajime Fujita
We give a direct geometric proof of a Danilov-type formula for toric origami manifolds by using the localization of Riemann-Roch number.
-equivariant local index and transverse index for non-compact symplectic manifolds
Hajime Fujita
We define an -equivariant index for non-compact symplectic manifolds with Hamiltonian -action. We use the perturbation by Dirac-type operator along the -orbits. We g…
Geodesic flows on spheres and the local Riemann-Roch numbers
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
We calculate the local Riemann-Roch numbers of the zero sections of and , where the local Riemann-Roch numbers are defined by using the -bundle structure o…
Torus fibrations and localization of index I
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
We define a local Riemann-Roch number for an open symplectic manifold when a complete integrable system without Bohr-Sommerfeld fiber is provided on its end. In particular when a s…