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Holomorphic Lefschetz fixed-point formula

Theorem about complex manifolds

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionJan 7, 2026
Entity authorityQ5884154 ↗
Source-derived summary

In mathematics, the Holomorphic Lefschetz formula is an analogue for complex manifolds of the Lefschetz fixed-point formula that relates a sum over the fixed points of a holomorphic vector field of a compact complex manifold to a sum over its Dolbeault cohomology groups.

Editorial summary

This brief starts where responsible research should: with the source description of “Holomorphic Lefschetz fixed-point formula” as theorem about complex manifolds. Everything that follows is an evidence route, not borrowed authority.

Editorial reviewA practical starting point whose main value is the path it opens into stronger specialist and primary sources. The current 43-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. The account is most persuasive where Holomorphic, Lefschetz and fixed-point can be independently traced.
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The subject matters to the general reference register because the source frames it as theorem about complex manifolds. Its deeper value depends on whether names, dates, institutions and citations support that framing.

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The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Jan 7, 2026. The linked authority identifier is Q5884154. None of the 0 selected statements returned an explicit reference.

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Source & attribution

This entry incorporates text from “Holomorphic Lefschetz fixed-point formula” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.