A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings

DOI10.4171/JNCG/234zbMath1343.58012arXiv1410.6564OpenAlexW2963179976MaRDI QIDQ283244

Hitoshi Moriyoshi, Alexander Gorokhovsky, Paolo Piazza

Publication date: 13 May 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6564

zbMATH Keywords

excisionGalois coveringsgroupoidsAtiyah-Patodi-Singer higher index theorygroup cocycleshigher eta invariantsindex classesrelative pairing

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56)

Related Items (5)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ Delocalized eta invariants, cyclic cohomology and higher rho invariants ⋮ Secondary higher invariants and cyclic cohomology for groups of polynomial growth ⋮ Higher invariants in noncommutative geometry

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