Chern currents of singular connections associated with a section of a compactified bundle [PDF]
Indiana University Mathematics Journal, 1995 J. Zweck
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The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory
, 2014 We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator on the quantum spaces.
Jørgen Ellegaard Andersen +1 more
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Groupoids in Sikorski’s spaces, connections and the Chern-Weil homomorphism [PDF]
Banach Center Publications, 2001 Krzysztof Lisiecki
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Cubo, 2022 We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
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An inner product for 4D quantum gravity and the Chern–Simons–Kodama state [PDF]
Classical and quantum gravity, 2022 We demonstrate that reality conditions for the Ashtekar connection imply a non-trivial measure for the inner product of gravitational states in the polarization where the Ashtekar connection is diagonal, and we express the measure as the determinant of a
S. Alexander, G. Herczeg, L. Freidel
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Chiral gravitational waves in Palatini-Chern-Simons gravity [PDF]
Physical Review D, 2022 We study the parity-breaking higher-curvature gravity theory of Chern-Simons (CS), using the Palatini formulation in which the metric and connection are taken to be independent fields.
Felipe Sulantay +2 more
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On the Zakharov–Mikhailov action: $$4\hbox {d}$$ Chern–Simons origin and covariant Poisson algebra of the Lax connection [PDF]
Letters in Mathematical Physics, 2020 We derive the $$2\hbox {d}$$ 2 d Zakharov–Mikhailov action from $$4\hbox {d}$$ 4 d
V. Caudrelier +2 more
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General solutions in Chern-Simons gravity and T T ¯ $$ T\overline{T} $$ -deformations
Journal of High Energy Physics, 2021 We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection.
Eva Llabrés
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Corrigendum to "Chern connection of a pseudo-Finsler metric as a family of affine connections" [PDF]
, 2013 In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$.
M. Javaloyes
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An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
Complex Manifolds, 2022 We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
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