A deformation of Hodge theory on the cotangent bundle
type: Item
instance of: scholarly article
title: A deformation of Hodge theory on the cotangent bundle
zbMATH Open document ID: 1044.58005
author: Jean-Michel Bismut
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-06-15T00:00:00Z
review text: This paper presents some results from the Hodge theory of finite dimension with the assumption that the considered complex Hermitian form is not necessarily positive. The author constructs the adjoint of the de Rham operator \(d^{T^*X}\) on the cotangent bundle \(T^*X\) of a manifold \(X\) with respect to a Hermitian form of non-trivial signature.
Mathematics Subject Classification ID: 58A14
Mathematics Subject Classification ID: 58J52
zbMATH DE Number: 2075668
zbMATH Keywords: Hodge theory
zbMATH Keywords: de Rham operator
zbMATH Keywords: Hermitian form
reviewed by: Andrew Bucki
MaRDI profile type: Publication
full work available at URL: j.crma.2004.01.012
OpenAlex ID: W2002998002
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DOI: 10.1016/J.CRMA.2004.01.012
description: scientific article; zbMATH DE number 2075668