Condiciones de contorno globales para el operador de Dirac

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Functional determinants for Dirac operators on manifolds with boundary are considered. Ellipticity of boundary value problems is discussed in terms of the Calderon projector. The functional determinant for a Dirac operator on a bidimensional disk, in the presence of an Abelian gauge field, subject to global boundary conditions of the type introduced by Atiyah-Patodi-Singer, is evaluated. The relationship with the index theorem is also commented.
Talk given at SOCHIFI X, November 27-29/1996, Valparaiso, Chile. 12 pages, RevTeX, in spanish

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