Families Index for Manifolds with Hyperbolic Cusp Singularities

DOI10.1093/imrn/rnn142zbMath1184.58008arXiv0801.1969OpenAlexW2963667531MaRDI QIDQ3613894

Frédéric Rochon, Pierre Albin

Publication date: 16 March 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1969

zbMATH Keywords

Dirac operatorfamilies index theorem

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (8)

The index formula for families of Dirac type operators on pseudomanifolds ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Analytic torsion on manifolds with edges ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ Pseudodifferential operators on manifolds with foliated boundaries ⋮ A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces ⋮ Eta and rho invariants on manifolds with edges ⋮ Pseudodifferential operator calculus for generalized \(\mathbb Q\)-rank 1 locally symmetric spaces. I.

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