On the topology of the space of invertible pseudodifferential operators of order 0

DOI10.5802/aif.2343zbMath1154.58014OpenAlexW1786169828MaRDI QIDQ2482853

Frédéric Rochon

Publication date: 24 April 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_1_29_0

zbMATH Keywords

\(K\)-theoryhomotopy groupspseudodifferential operators on compact manifolds

Mathematics Subject Classification ID

Related Items (1)

Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups

Cites Work

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• Local invariants of spectral asymmetry
• Bott periodicity for fibred cusp operators
• Index in \(K\)-theory for families of fibred cusp operators
• The index of Dirac operators on manifolds with fibered boundaries
• The residue of the global eta function at the origin
• Spectral asymmetry and zeta functions
• \(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators
• \(K\)-theory of suspended pseudo-differential operators
• Pseudodifferential operators on manifolds with fibred boundaries.
• An \(L^2\)-index theorem for Dirac operators on \(S^1\times\mathbb{R}^3\)
• The eta invariant and families of pseudodifferential operators
• The multiplicative anomaly for determinants of elliptic operators
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• A Laurent expansion for regularized integrals of holomorphic symbols
• Periodicity and the determinant bundle
• Fibered cusp versus \(d\)-index theory
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• An index formula on manifolds with fibered cusp ends
• FREDHOLM THEORY FOR DEGENERATE PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBERED BOUNDARIES
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. III
• Homology and residues of adiabatic pseudodifferential operators
• Homology of pseudodifferential operators on manifolds with fibered cusps
• Uniqueness of multiplicative determinants on elliptic pseudodifferential operators
• The Residue Determinant

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