Super line bundles |
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| Authors: | Claudio Bartocci Ugo Bruzzo |
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| Institution: | (1) Mathematics Institute, University of Warwick, CV4 7AL Coventry, England;(2) Present address: Dipartimento di Matematica, Università di Genova, Via L. B. Alberti 4, 16132 Genova, Italy;(3) Dipartimento di Matematica, Università di Genova, Via L. B. Alberti 4, 16132 Genova, Italy |
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| Abstract: | Super line bundles over supermanifolds are introduced as natural generalizations of line bundles over smooth manifolds. Their classification in terms of their obstruction class and the representation of their Chern class in terms of a connection on the super line bundle are discussed. The case where the base supermanifold is De Witt is analyzed in detail, both in the supersmooth and complex superanalytic case. |
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| Keywords: | 58A50 83E50 |
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