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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “non-self-dual”

Schwarzschild black holes from twistor spacehep-th

New method solves 'googly problem' for Schwarzschild black holes.

problem Solving the 'googly problem' for non-chiral field configurations.

method Using twistor space and holomorphic loci to construct a non-self-dual, four-dimensional Kähler metric.

result First instance of a non-self-dual Einstein metric from holomorphic data in twistor space.

twistor theory Schwarzschild black holes googly problem Kähler metric non-self-dual

2026-07-07abs ↗pdf ↗

Mode Stability of Hermitian Instantonsgr-qc

Proves stability of gravitational instantons, proving operator positivity.

problem Stability of gravitational instantons.

method Riemannian analog of black hole mode stability for Hermitian, non-self-dual gravitational instantons.

result Teukolsky equation is a positive definite operator on Hermitian, non-self-dual gravitational instantons.

gravitational instantons mode stability positive definite operator Riemannian geometry black hole physics

2024-10-28abs ↗pdf ↗

Twistor actions for non-self-dual fields; a new foundation for twistor-string theoryhep-th

Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using almost complex structures that are not, in general, integrable. These are used as the basis of a derivation of the twistor-string generating functionals for tree level perturbative scattering amplitudes of Yang-Mills and c…

2005-07-27abs ↗pdf ↗

On Riemannian four-manifolds and their twistor spaces: a moving frame approachmath.DG

The paper studies Riemannian four-manifolds and their twistor spaces using a moving frame approach.

problem Understanding the twistor spaces of Riemannian four-manifolds.

method Using the moving frame approach to analyze the twistor space

Z

of an oriented Riemannian four-manifold

M

result Proves that first-order linear conditions on the almost complex structures of

Z

force the manifold

M

to be self-dual, and shows that the Atiyah-Hitchin-Singer twistor space bears a resemblance to a nearly Kähler manifold under first-order quadratic conditions.

Riemannian four-manifolds twistor spaces moving frame Einstein manifolds self-duality

2020-10-01abs ↗pdf ↗