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BANACH DIRAC BUNDLES

MIHAI ANASTASIEI

Faculty of Mathematics, "Al. I. Cuza" University, Bd. Carol I, Nr. 11, Iaşi 700506, România

Mathematical Institute "O. Mayer", Romanian Academy, Bd. Carol I, Nr. 8, Iaşi 700506, România

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and

ADRIAN SANDOVICI

Department of Sciences, University "Al. I. Cuza", Lascăr Catargi 54, 700107 Iaşi, România

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https://doi.org/10.1142/S0219887813500333Cited by:2 (Source: Crossref)

Abstract

Banach Dirac bundles are introduced within the framework of infinite-dimensional Banach manifolds and their basic properties are derived. Banach Lie algebroids are geometrical objects recently introduced by the first author. It is the main goal of the present paper to reveal the most important links between Banach Dirac bundles and Banach Lie algebroids, respectively.

Keywords:

AMSC: 53D05, 53D17, 53D99, 53Z99, 70A99, 70H45, 93A30, 93C10

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