LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	514.74
Title	Invariance theory, the heat equation, and the Atiyah-Singer index theorem ([Ebook]) / Peter B. Gilkey
Author	Gilkey, Peter B.
Edition statement	Second edition
Publication	Boca Raton : CRC Press , 2018
Physical Details	1 online resource
Series	Studies in advanced mathematics
ISBN	9781351436427
Summary Note	This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.:
Mode of acces to digital resource	Digital book.- Boca Raton : CRC Press, 2018. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address and through EbscoHost. Limited User Access (1 digital Copy Available ONLY for SISSA internal users)
Internet Site	http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=1802567
Links to Related Works	Subject References: Atiyah-Singer index theorem . Differential operators . Heat equation . Invariants . Authors: Gilkey, Peter B. . Series: Studies in advanced mathematics . Classification: 514.74 . 514.74 (DDC 23) .

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Invariance theory, the heat equation, and the Atiyah-Singer index theorem

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