11 citations · 25 across the 13 of their papers we have counts for
4 papers · 1 filter
Deformation of Dirac operators along orbits and quantization of non-compact Hamiltonian torus manifolds
Hajime Fujita
We give a formulation of a deformation of Dirac operator along orbits of a group action on a possibly non-compact manifold to get an equivariant index and a K-homology cycle repres…
Cobordism invariance and the well-definedness of local index
Hajime Fujita
In the previous papers, Furuta, Yoshida and the author gave a definition of analytic index theory of Dirac-type operator on open manifolds by making use of some geometric structure…
Torus fibrations and localization of index III
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
This paper is the third of the series concerning the localization of the index of Dirac-type operators. In our previous papers we gave a formulation of index of Dirac-type operator…
Torus fibrations and localization of index II
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
We give a framework of localization for the index of a Dirac-type operator on an open manifold. Suppose the open manifold has a compact subset whose complement is covered by a fami…