3 papers
math.DG2021
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…
math.DG2021
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…
math.DG2018
Frölicher-Nijenhuis bracket on manifolds with special holonomy
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
In this article, we summarize our recent results on the study of manifolds with special holonomy via the Frölicher-Nijenhuis bracket. This bracket enables us to define the Fröliche…