9 papers · 1 filter
Mirror of volume functionals on manifolds with special holonomy
Kotaro Kawai, Hikaru Yamamoto
We can define the ``volume'' for Hermitian connections on a Hermitian complex line bundle over a Riemannian manifold , which can be considered to be the ``mirror'' of the st…
Deformation theory of deformed Donaldson-Thomas connections for -manifolds
Kotaro Kawai, Hikaru Yamamoto
A deformed Donaldson-Thomas connection for a manifold with a -structure, which we call a -dDT connection, is a Hermitian connection on a Hermitian lin…
The real Fourier-Mukai transform of Cayley cycles
Kotaro Kawai, Hikaru Yamamoto
The real Fourier-Mukai transform sends a section of a torus fibration to a connection over the total space of the dual torus fibration. By this method, Leung, Yau and Zaslow introd…
Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections
Kotaro Kawai, Hikaru Yamamoto
A deformed Donaldson-Thomas (dDT) connection is a Hermitian connection of a Hermitian line bundle over a -manifold satisfying a certain nonlinear PDE. This is considered t…
Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair
Kotaro Kawai
We introduce a new notion of a homogeneous pair for a pseudo-Riemannian metric and a positive function on a manifold admitting a free -action. There ar…
Almost formality of manifolds of low dimension
Domenico Fiorenza, Kotaro Kawai, Hông Vân Lê +1
In this paper we introduce the notion of Poincaré DGCAs of Hodge type, which is a subclass of Poincaré DGCAs encompassing the de Rham algebras of closed orientable manifolds. Then…