Atiyah–Bott fixed-point theorem
id:
atiyah-bott-fixed-point-theorem-0-8101505
title:
Atiyah–Bott fixed-point theorem
text:
In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point theorem for smooth manifolds M, which uses an elliptic complex on M. This is a system of elliptic differential operators on vector bundles, generalizing the de Rham complex constructed from smooth differential forms which appears in the original Lefschetz fixed-point theorem.
brand slug:
wiki
category slug:
encyclopedia
description:
Fixed-point theorem for smooth manifolds
original url:
https://en.wikipedia.org/wiki/Atiyah%E2%80%93Bott_fixed-point_theorem
date created:
date modified:
2024-02-05T15:29:29Z
main entity:
{"identifier":"Q755986","url":"https://www.wikidata.org/entity/Q755986"}
image:
fields total:
13
integrity:
14