11 citations · 25 across the 13 of their papers we have counts for
14 papers
Distance functions on convex bodies and symplectic toric manifolds
Hajime Fujita, Yu Kitabeppu, Ayato Mitsuishi
In this paper we discuss three distance functions on the set of convex bodies. In particular we study the convergence of Delzant polytopes, which are fundamental objects in symplec…
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…
A metric on the moduli space of bodies
Hajime Fujita, Kaho Ohashi
We construct a metric on the moduli space of bodies in Euclidean space. The moduli space is defined as the quotient space with respect to the action of integral affine transformati…
Maximum genus of the Jenga like configurations
Rika Akiyama, Nozomi Abe, Hajime Fujita +4
We treat the boundary of the union of blocks in the Jenga game as a surface with a polyhedral structure and consider its genus. We generalize the game and determine the maximum gen…
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.
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…
-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…
Heisenberg action in skein theory and external edge condition
Hajime Fujita
In this article we give an explicit description of the representation matrix of a Heisenberg type action constructed by Blanchet, Habegger, Masbaum and Vogel. We give the matrix in…
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…
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…
External edge condition and group cohomologies associated with the quantum Clebsch-Gordan condition
Hajime Fujita
In this article we determine the structure of a twisted first cohomology group of the first homology of a trivalent graph with a coefficient associated with the quantum Clebsch-Gor…
A combinatorial realization of the Heisenberg action on the space of conformal blocks
Hajime Fujita
This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.