Splitting of the family index

DOI10.1007/BF02517892zbMath0874.58076OpenAlexW2140714394MaRDI QIDQ679377

Xianzhe Dai, Weiping Zhang

Publication date: 22 April 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02517892

zbMATH Keywords

splitting formulafamily of Dirac operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32)

Related Items (6)

Dirac index classes and the noncommutative spectral flow ⋮ Cobordism, relative indices and Stein fillings ⋮ Higher spectral flow ⋮ Elliptic operators and higher signatures. ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces ⋮ Geometric quantization for proper moment maps

Cites Work

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• Topological quantum field theories
• Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators
• An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
• Families of Dirac operators, boundaries and the \(B\)-calculus
• Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems
• On the gluing problem for the \(\eta\)-invariant
• Index theory for skew-adjoint Fredholm operators
• The index of elliptic operators. IV, V
• Spectral asymmetry and Riemannian Geometry. I
• η-invariants and determinant lines
• Fiber cobordism and the index of a family of elliptic differential operators

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