The index of Dirac operators on manifolds with fibered boundaries

zbMath1126.58009arXivmath/0609614MaRDI QIDQ998095

Eric Leichtnam, Paolo Piazza, Rafe R. Mazzeo

Publication date: 10 August 2007

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609614

zbMATH Keywords

Dirac operatoreta invariantmanifold with boundaryindex theoryadiabatic limit

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (14)

Spectral geometry on manifolds with fibred boundary metrics. II: Heat kernel asymptotics ⋮ Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ The index of Dirac operators on incomplete edge spaces ⋮ A topological approach to indices of geometric operators on manifolds with fibered boundaries ⋮ Calorons and constituent monopoles ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Normalized Yamabe flow on manifolds with bounded geometry ⋮ Pseudodifferential operators on manifolds with foliated boundaries ⋮ Fibered cusp versus \(d\)-index theory ⋮ On the topology of the space of invertible pseudodifferential operators of order 0 ⋮ An Application of the Index Theorem for Manifolds with Fibered Boundaries ⋮ Unnamed Item ⋮ A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces ⋮ Instantons on multi-Taub-NUT spaces. I: Asymptotic form and index theorem

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