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Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary

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Abstract

Elliptic complexes on a manifold with boundary whose differentials are Boutet de Monvel operators are studied. An Atiyah-Bott-Lefschetz type formula is obtained for such complexes.

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Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 38, pp. 119–183, 1991.

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Brenner, A.V., Shubin, M.A. Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary. J Math Sci 64, 1069–1111 (1993). https://doi.org/10.1007/BF01097408

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