On the Hodge-type decomposition and cohomology groups of k-Cauchy–Fueter complexes over domains in the quaternionic space

@article{Chang2016OnTH,
  title={On the Hodge-type decomposition and cohomology groups of k-Cauchy–Fueter complexes over domains in the quaternionic space},
  author={Der-Chen Chang and Irina Markina and Wei Wang},
  journal={Journal of Geometry and Physics},
  year={2016},
  volume={107},
  pages={15-34}
}
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6 Citations
Highly Influential Citations
1
Background Citations
2

6 Citations

On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel
The Neumann Problem for the k-Cauchy–Fueter Complex over k-Pseudoconvex Domains in $$\mathbb {R}^4$$R4 and the $$L^2$$L2 Estimate
The k-Cauchy–Fueter operator and complex are quaternionic counterparts of the Cauchy–Riemann operator and the Dolbeault complex in the theory of several complex variables, respectively. To develop…
On quaternionic complexes over unimodular quaternionic manifolds
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The resolution of Euclidean massless field operators of higher spins on $\Bbb R^6$ and the $L^2$ method
The resolution of 4-dimensional massless field operators of higher spins was constructed by Eastwood-Penrose-Wells by using the twistor method. Recently physicists are interested in 6dimensional…
Sub-Riemannian Geometry and Hypoelliptic Operators
In this course we carefully define the notion of a non-holonomic manifold, which is a manifold with a certain non-integrable smooth sub-bundle of the tangent bundle, also called a distribution. We…
The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ R 6
The resolution of 4 dimensional massless field operators of higher spins was constructed by Eastwood–Penrose–Wells by using the twistor method. Recently physicists are interested in 6 dimensional…

References

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Much attention has recently been paid to a study of analogues of the Dolbeault complex for the Dirac equation in several vector variables. In this article, we study these questions in dimension 4, in…
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