1 citations · 1 across the 1 of their papers we have counts for
7 papers
Dynamics of Cayley Forms
Kirill Krasnov
The most natural first-order PDEs to be imposed on a Cayley 4-form in eight dimensions is the condition that it is closed. In this work, we investigate the natural second-order con…
Kahler decoupling for Kerr perturbations
Stephen R. Green, Kirill Krasnov, Adam Shaw
The Euclidean Kerr metric is conformal, in two distinct ways, to a Kahler metric, with conformal factors determined by the repeated eigenvalue of the two chiral halves of the Weyl…
Variations on a theme of MacDowell-Mansouri
P. D. Alvarez, K. Krasnov
Inspired by the MacDowell-Mansouri formulation of four-dimensional General Relativity, we study a class of four-dimensional gauge-theoretic functionals obtained from the Pontryagin…
Kerr metric from two commuting complex structures
Kirill Krasnov, Adam Shaw
The main aim of this paper is to simplify and popularise the construction from the 2013 paper by Apostolov, Calderbank, and Gauduchon, which (among other things) derives the Pleban…
Octonions, complex structures and Standard Model fermions
Kirill Krasnov
This article is a write-up of the talk given in one of the mini-symposia of the 2024 European Congress of Mathematicians. I will explain some basics of the representation theory un…
Plebanski complex
Kirill Krasnov, Adam Shaw
As is very well-known, linearisation of the instanton equations on a 4-manifold gives rise to an elliptic complex of differential operators, the truncated (twisted) Hodge complex $…