Dolbeault Complex on S^4{·} and S^6{·} through Supersymmetric Glasses
S^4 is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian conjugate) can be perfectly well defined in this case. We calculate the spect...
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2011-11-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.105 |