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math.DG2024
Four-dimensional Riemannian geometry via 2-forms
Niren Bhoja, Kirill Krasnov
In differential geometry, geometric structures can often be encoded by differential forms satisfying algebraic and differential constraints. This is in particular the case for spin…
math.DG2023
Eguchi-Hanson harmonic spinors revisited
Guido Franchetti, Kirill Krasnov
We revisit the problem of determining the zero modes of the Dirac operator on the Eguchi-Hanson space. It is well known that there are no normalisable zero modes, but such zero mod…
math.DG2023
Lorentzian Cayley Form
Kirill Krasnov
Cayley 4-form Phi on an 8-dimensional manifold M is a real differential form of a special algebraic type, which determines a Riemannian metric on M as well as a unit real Weyl spin…