Mirror of volume functionals on manifolds with special holonomy

[1]  Man-Chun Lee,et al.  Hypercritical deformed Hermitian-Yang-Mills equation , 2021, 2107.13192.

[2]  Kotaro Kawai,et al.  Deformation Theory of Deformed Donaldson–Thomas Connections for $${\text {Spin}(7)}$$-manifolds , 2021, The Journal of Geometric Analysis.

[3]  Kotaro Kawai,et al.  The real Fourier–Mukai transform of Cayley cycles , 2021, Pure and Applied Mathematics Quarterly.

[4]  Stefan Friedl Algebraic topology , 2020, Graduate Studies in Mathematics.

[5]  Jason D. Lotay,et al.  Examples of deformed G2-instantons/Donaldson–Thomas connections , 2020, Annales de l'Institut Fourier.

[6]  Yuanqi Wang Moduli Spaces of $$G_{2}$$-Instantons and Spin(7)-Instantons on Product Manifolds , 2020, Annales Henri Poincaré.

[7]  Kotaro Kawai,et al.  Deformation Theory of Deformed Hermitian Yang–Mills Connections and Deformed Donaldson–Thomas Connections , 2020, The Journal of Geometric Analysis.

[8]  Tristan C. Collins,et al.  Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics , 2018, Annals of PDE.

[9]  Lorenz Schwachhöfer,et al.  The Frölicher–Nijenhuis bracket and the geometry of $$G_2$$G2-and Spin(7)-manifolds , 2018 .

[10]  V. Muñoz,et al.  Transversality for the moduli space of Spin(7)-instantons , 2016, Reviews in Mathematical Physics.

[11]  Tristan C. Collins,et al.  $(1,1)$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions , 2015, Cambridge Journal of Mathematics.

[12]  S. Yau,et al.  A special Lagrangian type equation for holomorphic line bundles , 2014, 1411.7457.

[13]  V. Muñoz Spin (7)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori , 2013, 1302.2846.

[14]  D. Gayet Smooth moduli spaces of associative submanifolds , 2010, 1011.1744.

[15]  Andrei Moroianu,et al.  Deformations of Nearly Kahler Structures , 2008 .

[16]  N. Leung,et al.  Hodge theory for G2‐manifolds: intermediate Jacobians and Abel–Jacobi maps , 2007, 0709.2987.

[17]  Xi-Ping Zhu,et al.  Lectures on Mean Curvature Flows , 2002 .

[18]  G. Tian Gauge theory and calibrated geometry, I , 2000, math/0010015.

[19]  G. Moore,et al.  Nonlinear instantons from supersymmetric p-branes , 1999, hep-th/9911206.

[20]  K. Smoczyk,et al.  A canonical way to deform a Lagrangian submanifold , 1996, dg-ga/9605005.

[21]  Loring W. Tu,et al.  Differential forms in algebraic topology , 1982, Graduate texts in mathematics.

[22]  H. Lawson,et al.  Calibrated geometries , 1982 .