2 citations · 3 across the 3 of their papers we have counts for
5 papers
Spectral convergence in geometric quantization --- the case of toric symplectic manifolds
Kota Hattori, Mayuko Yamashita
In this paper, we show the spectral convergence result of -Laplacians when is a compact toric symplectic manifold equipped with the natural prequantum…
The geometric quantizations and the measured Gromov-Hausdorff convergences
Kota Hattori
On a compact symplectic manifold with a prequantum line bundle , we consider the one-parameter family of -compatible complex structures which converges to…
On spectral convergence of vector bundles and convergence of principal bundles
Kota Hattori
In this article we consider the continuity of the eigenvalues of the connection Laplacian of -connections on vector bundles over Riemannian manifolds. To show it, we introduce t…
A generalization of Taub-NUT deformations
Kota Hattori
We introduce a generalization of Taub-NUT deformations for large families of hyper-Kaehler quotients including toric hyper-Kaehler manifolds and quiver varieties, and apply them to…
The holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}
Kota Hattori
We study the holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}, by using the torus action.