About: Atiyah–Bott fixed-point theorem

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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.

Attributes	Values
rdfs:label	Atiyah–Bott fixed-point theorem (en)
rdfs:comment	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. (en)
sameAs	Atiyah–Bott fixed-point theorem
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_web dbt:Clarify dbt:Harvtxt dbt:Other_uses dbt:Short_description
Subject	Fixed-point theorems Theorems in differential topology
Link from a Wikipage to an external page	http://brauer.math.harvard.edu/history/bott/bottbio/node18.html https://www.ams.org/bull/1966-72-02/S0002-9904-1966-11483-0/home.html%7C https://www.ams.org/notices/201510/rnoti-p1200.pdf
gold:hypernym	Form
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Atiyah–Bott_fixed-point_theorem?oldid=1020360682&ns=0
Wikipage page ID	3636103 (xsd:integer)
page length (characters) of wiki page	7555 (xsd:nonNegativeInteger)
Wikipage revision ID	1020360682 (xsd:integer)
Link from a Wikipage to another Wikipage	Weyl character formula William Fulton (mathematician) Algebraic geometry Alternating series Annals of Mathematics Atiyah–Singer index theorem Automorphic form Bott residue formula Bulletin of the AMS Bundle map Categorical trace Fixed-point theorems Smoothness Differential form Jean-Louis Verdier Lefschetz fixed-point theorem Michael Atiyah Section (fiber bundle) Woods Hole, Massachusetts De Rham cohomology Closed manifold Codimension Notices of the American Mathematical Society Elliptic complex Elliptic operator Endomorphism Fixed-point subgroup Goro Shimura Graph of a function Determinant Intersection number Trace (linear algebra) Transversality (mathematics) Vector bundle Theorems in differential topology Lie group Martin Eichler Mathematics Raoul Bott Sides of an equation
has abstract	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. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Atiyah–Bott_fixed-point_theorem
is Wikipage redirect of	Atiyah-Bott fixed-point theorem Atiyah-Bott fixed point formula Woods Hole fixed-point theorem Woods Hole fixed point theorem Woods Hole formula Atiyah-Bott fixed-point formula Atiyah-Bott fixed point theorem Atiyah-Bott formula Atiyah–Bott fixed point formula
is Link from a Wikipage to another Wikipage of	Gromov–Witten invariant List of theorems Atiyah-Bott fixed-point theorem Atiyah-Bott fixed point formula Bott Bott residue formula Categorical trace Michael Atiyah Michèle Vergne Elliptic complex Fixed-point theorems Lesley Sibner Atiyah-Bott fixed-point formula Atiyah-Bott fixed point theorem Atiyah-Bott formula Atiyah–Bott fixed point formula
is known for of	Michael Atiyah Raoul Bott
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Atiyah–Bott_fixed-point_theorem

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