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• W2017337296 abstract "The classical Lefschetz fixed point formula expresses the number of fixed points of a continuous map f:M→M in terms of the transformation induced by f on the cohomology of M. In 1966 Atiyah and Bott extended this formula to elliptic complexes over a compact closed manifold. In particular, they presented a holomorphic Lefschetz formula for compact complex manifolds without boundary, a result, in the framework of algebraic geometry due to Eichler (1957) for holomorphic curves. On compact complex manifolds with boundary the Dolbeault complex is not elliptic, hence the Atiyah-Bott theory is no longer applicable. To get rid of the difficulties related to the boundary behaviour of the Dolbeault cohomology, Donelli and Fefferman (1986) derived a fixed point formula for the Bergman metric. The purpose of this paper is to present a holomorphic Lefschetz formula on a strictly convex domain in ℂ n , n>1." @default.
• W2017337296 created "2016-06-24" @default.
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• W2017337296 date "2004-04-01" @default.
• W2017337296 modified "2023-09-26" @default.
• W2017337296 title "Holomorphic Lefschetz formula for manifolds with boundary" @default.
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• W2017337296 doi "https://doi.org/10.1007/s00209-003-0612-1" @default.
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