Kotaro Kawai

most citedSome observations on deformed Donaldson-Thomas connections

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math.DG2026

Anisotropic calibrations, Fueter maps and mirror symmetry

Kotaro Kawai, Tommaso Pacini

Let $(M, g)$ be a Riemannian manifold. Choose a pair $(α, H)$ , where $α$ is a calibration and $H$ is a calibrated distribution. Using these data, we define a 1-parameter family of fo…

math.DG2023★ 1 cited

Some observations on deformed Donaldson-Thomas connections

Kotaro Kawai

A deformed Donaldson-Thomas (dDT) connection is a Hermitian connection of a Hermitian line bundle over a $G_{2}$ -manifold $X$ satisfying a certain nonlinear PDE. This is considered t…

math.DG2023

A monotonicity formula for minimal connections

Kotaro Kawai

For Hermitian connections on a Hermitian complex line bundle over a Riemannian manifold $(X, g)$ , we can define the ``volume", which can be considered to be the ``mirror" of the sta…