Recent papers by Akito Futaki

Moment polytopes on Sasaki manifolds and volume minimization.
Preprint 2022, arXiv:2201.10832
Irregular Eguchi-Hanson type metrics and their soliton analogues.
Pure and Applied Mathematics Quarterly,
17(2021), 27--53.
(with L. La Fuente-Gravy)
Quantum moment map and obstructions to the existence of closed Fedosov star products.
J. Geom. Phys. 163 (2021), 104118.
(with Y.Y. Zhang)
Residue formula for an obstruction to Coupled Kähler-Einstein metrics.
J. Math. Soc. Japan. 73(2021), 389-401.
(with Y.Y. Zhang)
Coupled Sasaki-Ricci solitons.
Science China Math., 64(2021), 1447-1462.
(with L. La Fuente-Gravy) Deformation quantization and Kähler geometry with moment map.
ICCM 2018 Proc. pp 31--66, (2020) International Press of Boston. arXiv:1904.11749.
(with H.Ono) Geometric nonlinear problems and GIT stability through moment maps,
In: The Role of Metrics in the Theory of Partial Differential Equations. Advanced Studies in Pure Mathematics 85 (2020), pp 105–114. Math. Soc. Japan.
(with H.Ono) On the existence problem of Einstein-Maxwell Kähler metrics,
In: Chen J., Lu P., Lu Z., Zhang Z. (eds) Geometric Analysis. Progress in Mathematics, vol 333 (2020), 93-111. Birkhäuser, Cham.
(with H.Ono) Cahen-Gutt moment map, closed Fedosov star product and structure of the automorphism group, J. Symplectic. Geom. 18(2020), 123-145.
(with H.Ono) Conformally Einstein-Maxwell Kähler metrics and structure
of the automorphism group, Math. Zeit. 292(2019), 571-589.
(with H.Ono) Volume minimization and obstructions to solving some problems in Kähler geometry, ICCM Notices, 6(2018), 51-60.
(with H.Ono) Volume minimization and Conformally Kähler, Einstein-Maxwell
geometry. J. Math. Soc. Japan. 70(2018), 1493-1521.
(with S.Honda and S.Saito) Fano-Ricci limit spaces and spectral convergence.
Asian J. Math., 21(2017), 1015-1062.
Einstein metrics and GIT stability. II. Sugaku Expositions 28 (2015), no. 2, 231–249.
The weighted Laplacians on real and complex metric measure spaces, in Geometry and Analysis on Manifolds, In Memory of Professor Shoshichi Kobayashi, (eds. T.Ochiai et al), Progress in Mathematics, vol.308(2015), 343-351, Birkhauser.
(with K.Hattori and H.Yamamoto) Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones, Osaka J. Math., 51(2014), 1053-1079.
(with H.Z.Li and X.D.Li) On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons,
Ann. Global Anal. Geom. 44 (2013), no. 2, 105--114.
(with Y.Sano) Lower diameter bounds for compact shrinking Ricci solitons, Asian J. Math., 17(2013), No.1, 17-31.
(with K.Hattori and L.Ornea) An integral invariant from the view point of locally conformally Kähler geometry. Manuscripta Math. 140 (2013), no. 1-2, 1--12.
Asymptotic Chow polystability in Kähler geometry, in Fifth International Congress of Chinese Mathematicians Part 1, AMS/IP Studies in Advanced Mathematics, vol. 51, Amer. Math. Soc., Providence, RI, 2012, pp. 139-153.
(with Y.Sano) Multiplier ideal sheaves and geometric problems. Variational problems in differential geometry, 68--93, London Math. Soc. Lecture Note Ser., 394, Cambridge Univ. Press, Cambridge, 2012.