Algebraic topology and elliptic operators

DOI10.1002/cpa.3160200202zbMath0145.43804OpenAlexW2102026641MaRDI QIDQ5522755

Michael F. Atiyah

Publication date: 1967

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160200202

zbMATH Keywords

topology

Related Items (16)

Bott generator and its application to an almost complex structure on \(S^{6}\) ⋮ Toeplitz operators on connected domains ⋮ On the homotopy type of the regular group of a \(W^*\)-algebra ⋮ A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators ⋮ Computation of the index of families of multidimensional operators in discrete-continual convolutions ⋮ The C*-algebra of the \(n\)-dimensional harmonic oscillator ⋮ Complex and quaternionic analyticity in chiral and gauge theories. I ⋮ Some geometric results on \(K\)-theory with \(\mathbb{Z}/k\mathbb{Z}\)-coefficients ⋮ Obstruction Theory and Multiparameter Hopf Bifurcation ⋮ Essentially commutative C*-algebras with essential spectrum homeomorphic to S²ⁿ⁻¹ ⋮ A \(\mod k\) index theorem for signature operators ⋮ An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg) ⋮ Fredholm operators associated with strongly pseudoconvex domains in \(C^n\) ⋮ The Clifford algebra of differential forms ⋮ K-theory of Toeplitz \(C^*\)-algebras on Lie spheres ⋮ Quaternionic Dirac oscillator

Cites Work

• Unnamed Item
• The stable homotopy of the classical groups
• The index of elliptic operators. I
• Integro-Differential Operators on Vector Bundles
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• An algebra of pseudo‐differential operators
• The index of elliptic operators on compact manifolds

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