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Fixed point formula for holomorphic functions |
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| Authors: | Nikolai Tarkhanov |
| Institution: | Institute of Mathematics, University of Potsdam, P.O. Box 60 15 53, 14415 Potsdam, Germany |
| Abstract: | We show a Lefschetz fixed point formula for holomorphic functions in a bounded domain  with smooth boundary in the complex plane. To introduce the Lefschetz number for a holomorphic map of  , we make use of the Bergman kernel of this domain. The Lefschetz number is proved to be the sum of the usual contributions of fixed points of the map in  and contributions of boundary fixed points, these latter being different for attracting and repulsing fixed points. |
| Keywords: | Lefschetz number Neumann problem Bergman kernel |
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