Eta invariant

id: eta-invariant-198-4392984
title: Eta invariant
text: In mathematics, the eta invariant of a self-adjoint elliptic differential operator on a compact manifold is formally the number of positive eigenvalues minus the number of negative eigenvalues. In practice both numbers are often infinite so are defined using zeta function regularization. It was introduced by Atiyah, Patodi, and SingerĀ (1973, 1975) who used it to extend the Hirzebruch signature theorem to manifolds with boundary. The name comes from the fact that it is a generalization of the Dir
brand slug: wiki
category slug: encyclopedia
description: Differential operator
original url: https://en.wikipedia.org/wiki/Eta_invariant
date created:
date modified: 2024-02-22T21:02:36Z
main entity: {"identifier":"Q5402374","url":"https://www.wikidata.org/entity/Q5402374"}
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fields total: 13
integrity: 14

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