Hodge theory
id:
hodge-theory-187-14607779
title:
Hodge theory
text:
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations. The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric. Such forms are called harmonic. The theory was developed by Hodge in the 1930s to study algebraic geometry, and it built on the work of Geor
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical manifold theory
original url:
https://en.wikipedia.org/wiki/Hodge_theory
date created:
2004-03-03T10:23:40Z
date modified:
2024-09-08T17:25:47Z
main entity:
{"identifier":"Q1317202","url":"https://www.wikidata.org/entity/Q1317202"}
image:
fields total:
13
integrity:
15