The Hirzebruch Signature Theorem for Conical Metrics

DOI10.1007/978-3-319-43648-7_1zbMath1376.57028OpenAlexW2556336606MaRDI QIDQ5278316

Michael F. Atiyah

Publication date: 19 July 2017

Published in: Arbeitstagung Bonn 2013 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-43648-7_1

zbMATH Keywords

signature theorem\(L\)-polynomialTodd polynomialHirzebruch-Riemann-Roch Theoremindex formula defect

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Characteristic classes and numbers in differential topology (57R20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Algebraic topology on manifolds and differential topology (57R19) History of manifolds and cell complexes (57-03)

Cites Work

• Eta invariants, signature defects of cusps, and values of L-functions
• The moment map and equivariant cohomology
• Hilbert modular surfaces
• The fundamental equations of a submersion
• The index of elliptic operators. III
• Curvature, cones and characteristic numbers
• Spectral Asymmetry and Riemannian Geometry
• On Steenrod's Reduced Powers, the Index of Inertia, and the Todd Genus
• ARITHMETIC GENERA AND THE THEOREM OF RIEMANN-ROCH FOR ALGEBRAIC VARIETIES

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