selected scholarly activity
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journal articles
- The generalized Pythagorean theorem on the compactifications of certain dually flat spaces via toric geometry. Information Geometry. 7:33-58. 2024
- Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds. Canadian Journal of Mathematics. 74:1062-1092. 2022
- A DANILOV-TYPE FORMULA FOR TORIC ORIGAMI MANIFOLDS VIA LOCALIZATION OF INDEX. Osaka Journal of Mathematics. 55:619-645. 2018
- Maximum Genus of the Jenga Like Configurations. Recreational Mathematics Magazine. 5:49-64. 2018
- $S^1$-equivariant local index and transverse index for non-compact symplectic manifolds. Mathematical Research Letters. 23:1351-1367. 2016
- Cobordism invariance and the well-definedness of local index. Annals of Global Analysis and Geometry. 47:399-414. 2015
- Torus Fibrations and Localization of Index III. Communications in Mathematical Physics. 327:665-689. 2014
- Torus Fibrations and Localization of Index II. Communications in Mathematical Physics. 326:585-633. 2014
- EXTERNAL EDGE CONDITION AND GROUP COHOMOLOGIES ASSOCIATED WITH THE QUANTUM CLEBSCH-GORDAN CONDITION. Kyushu Journal of Mathematics. 66:383-391. 2012
- Torus Fibrations and Localization of Index I - Polarization and Acyclic Fibrations. Journal of Mathematical Sciences (Japan). 17:1-26. 2010
- HEISENBERG ACTION IN SKEIN THEORY AND EXTERNAL EDGE CONDITION. Kyushu Journal of Mathematics. 64:59-79. 2009
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preprints