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Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics)

Helen Margaret Gilkey
4.9/5 (21072 ratings)
Read Now Download Now ⏭ listen AudioBook
Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics). To get started finding Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
516
Format
PDF, EPUB & Kindle Edition
Publisher
—
Release
—
ISBN
0849370744

Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics)

Helen Margaret Gilkey
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics). To get started finding Invariance theory, the heat equation, and the Atiyah-Singer index theorem (Studies in advanced mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
516
Format
PDF, EPUB & Kindle Edition
Publisher
—
Release
—
ISBN
0849370744

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