Extremal Metrics and Relative K-Stability


  • Y. Hashimoto, J. Keller
    About J-flow, Jbalanced metrics, uniform J-stability and K-stability, to appear in Asian J. Math., arXiv:1705.02000.

  • J. Keller, R. Dervan
    A finite dimensional approach to Donaldson's J-flow, to appear in Comm . Anal. Geom., arXiv:1507.03461.

  • E. Legendre, Y. Rollin
    Hamiltonian stationary Lagrangian fibration, to appear in Journal of Symplectic Geometry, arXiv:1606.05886 / hal.

  • M. Garcia-Fernandez, R. Rubio, C. Tipler
    Infinitesimal moduli for the Strominger system and generalized Killing spinors, to appear in Mathematische Annalen (available online), arXiv:1503.07562.

  • H. Auvray, X. Ma, G. Marinescu
    Bergman kernels on punctured Riemann surfaces, C. R. Math. Acad. Sci. Paris 354 (2016), no. 10, 1018-1022, sciencedirect.

  • Y. Rollin, V. Apostolov
    Ale scalar-flat kaehler metrics on non-compact weighted projective spaces, Mathematische Annalen, avril 2017 Volume 367, Issue 3-4, pp 1685-1726 / arXiv:1510.02226.

  • E. Legendre, C. Boyer, H. Huang, C. Tønnesen-Friedman
    The Einstein-Hilbert functional and the Sasaki-Futaki invariant , International Mathematics Research Notices, Volume 2017, Issue 7, 1 April 2017, Pages 1942–1974 / arXiv:1506.06084.

  • C. Tipler, C. van Coevering
    Deformations of constant scalar curvature Sasakian metrics and K-stability, International Mathematics Research Notices, Volume 2015, Issue 22, 2015, Pages 11566-11604 / arXiv:1312.3686.

  • J. Keller
    About canonical Kähler metrics on Mumford semistable projective bundles over a curve, Journal of the London Mathematical Society 93 (1): 159-174 (2016) (DOI : 10.1112/jlms/jdv066), Oxford Journals / arXiv:1407.7062 / hal-01282553v1.

  • J. Keller, S. Lukic
    Numerical Weil-Petersson metrics on moduli spaces of Calabi-Yau manifolds, Journal of Geometry and Physics (2015), 10.1016/j.geomphys.2015.02.018, sciencedirect.

  • J. Keller, J. Meyer, R. Seyyedali
    Quantization of the Laplacian operator on vector bundles I, J. Meyer and R. Seyyedali, Math Annalen (2015) 43 pages (DOI: 10.1007/s00208-015-1355-0), Springer / arXiv:1505.03836 hal-01282552v1..

  • J. Keller, R. Seyyedali
    Quantization of Donaldson's heat flow over projective manifolds, Math. Zeitschrift (DOI: 10.1007/s00209-015-1567-8) (2015) 28 pages, Springer / arXiv:1411.2716.

  • Y. Rollin
    K-stability and parabolic stability, Advances in Mathematics 285:1741-1766, 2015, sciencedirect .

  • O. Biquard, Y. Rollin
    Smoothing singular extremal Kähler surfaces and minimal Lagrangians, Advances in Mathematics 285:980 - 1024, 2015, sciencedirect .


  • C. Boyer, H. Huang, E. Legendre
    An application of the Duistermaat- Heckman theorem and its extension in Sasaki geometry, preprint 2017, arXiv:1708.03006.

  • Y. Sano, C. Tipler
    A moment map picture of relative balanced metrics on extremal Kähler manifolds, preprint 2017, arXiv:1703.09458.

  • V. Apostolov, D.M.J. Calderbank, E. Legendre, P. Gauduchon
    Toric contact geometry in arbitrary codimension,, preprint 2017, arXiv:math.DG/1708.04942.

  • V. Apostolov, D.M.J. Calderbank, E. Legendre, P. Gauduchon
    Levi-Kähler reduction of CR structures, products of spheres, and toric geometry, preprint 2017, arXiv:math.DG/1708.05253.

  • J. Keller, K. Zheng
    Construction of constant scalar curvature Kähler cone metrics, preprint 2017, arXiv:1703.06312.

  • V. Apostolov, J. Keller
    Relative K-polystability of projective bundles over a curve, preprint 2017, arXiv:1701.08507.

  • J. Keller, M. Lejmi
    On the lower bounds of the L2-norm of the Hermitian scalar curvature, preprint 2017, arXiv:1702.01810.

  • R. Rubio, C. Tipler
    The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics, preprint 2016, arXiv:1612.03755.

  • C. Boyer, H. Huang, E. Legendre, C. Tønnesen-Friedmann
    Reducibility in Sasakian geometry, preprint 2016, arXiv:1606.04859.

  • H. Auvray, X. Ma, G. Marinescu
    Bergman kernels on punctured Riemann surfaces, preprint 2016, arXiv:1604.06337.

  • E. Legendre, R. Sena-Dias
    Toric aspects of the first eigenvalue, preprint 2015, arXiv:1505.01678.

  • A. Clarke, M. Garcia-Fernandez, C. Tipler
    Moduli of G2 structures and the Strominger system in dimension 7, preprint 2016, arXiv:1607.01219.

Thanks to the authors for adding up the mention "This project was partially supported by ANR EMARKS, decision N° ANR-14-CE25-0010" on their various productions.