The index of Dirac operators on incomplete edge spaces

DOI10.3842/SIGMA.2016.089zbMath1378.58020arXiv1312.4241OpenAlexW2516905766MaRDI QIDQ318940

Pierre Albin, Jesse Gell-Redman

Publication date: 6 October 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4241

zbMATH Keywords

Dirac operatorpositive scalar curvatureAtiyah-Singer index theoremincomplete edge spacesingular space

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32) Stratified sets (58A35)

Related Items (14)

On the domain of Dirac and Laplace type operators on stratified spaces ⋮ Extensions of symmetric operators that are invariant under scaling and applications to indicial operators ⋮ Harmonic spinors on a family of Einstein manifolds ⋮ Positive scalar curvature on simply connected spin pseudomanifolds ⋮ Exterior stability of Minkowski space in generalized harmonic gauge ⋮ Products of manifolds with fibered corners ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Convergence of the Yamabe flow on singular spaces with positive Yamabe constant ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ Double layer potentials on three-dimensional wedges and pseudodifferential operators on Lie groupoids ⋮ Odd Pfaffian forms ⋮ Eta and rho invariants on manifolds with edges ⋮ Perelman’s entropies for manifolds with conical singularities ⋮ The scalar curvature in conical manifolds: some results on existence and obstructions

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