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- W2952808637 abstract "In the spirit of noncommutative geometry we construct all inequivalent vector bundles over the $(2,2)$-dimensional supersphere $S^{2,2}$ by means of global projectors $p$ via equivariant maps. Each projector determines the projective module of finite type of sections of the corresponding `rank 1' supervector bundle over $S^{2,2}$. The canonical connection $nabla = p circ d$ is used to compute the Chern numbers by means of the Berezin integral on $S^{2,2}$. The associated connection 1-forms are graded extensions of monopoles with not trivial topological charge. Supertransposed projectors gives opposite values for the charges. We also comment on the $K$-theory of $S^{2,2}$." @default.
- W2952808637 created "2019-06-27" @default.
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- W2952808637 date "1999-07-26" @default.
- W2952808637 modified "2023-09-27" @default.
- W2952808637 title "Projective Modules of Finite Type over the Supersphere $S^{2,2}$" @default.
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