Families index for manifolds with boundary, superconnections and cones. II. The Chern character

Jean Michel Bismut, Jeff Cheeger

Research output: Contribution to journalArticle

Abstract

This is Part II of a work in which we establish a formula for the Chern character of a family of Dirac operators of Atiyah, Patodi, and Singer. Here we establish the existence of associated superconnection heat kernels, and we prove the final index formula.

Original languageEnglish (US)
Pages (from-to)306-354
Number of pages49
JournalJournal of Functional Analysis
Volume90
Issue number2
DOIs
StatePublished - 1990

Fingerprint

Chern Character
Manifolds with Boundary
Cone
Michael Francis Atiyah
Heat Kernel
Dirac Operator
Family

ASJC Scopus subject areas

  • Analysis

Cite this

Families index for manifolds with boundary, superconnections and cones. II. The Chern character. / Bismut, Jean Michel; Cheeger, Jeff.

In: Journal of Functional Analysis, Vol. 90, No. 2, 1990, p. 306-354.

Research output: Contribution to journalArticle

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