Higher complex torsion and the framing principle

DOI10.1090/memo/0835zbMath1083.57030arXivmath/0303047OpenAlexW1971715649MaRDI QIDQ5692209

Kiyoshi Igusa

Publication date: 27 September 2005

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303047

zbMATH Keywords

diffeomorphismpolylogarithmstransferalmost complex manifoldsuperconnectionstwisting cochainshigher Franz-Reidemeister torsion

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Determinants and determinant bundles, analytic torsion (58J52) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Whitehead (and related) torsion (19J10) Differential topological aspects of diffeomorphisms (57R50)

Related Items (8)

Increasing trees and Kontsevich cycles ⋮ Axioms for higher twisted torsion invariants of smooth bundles ⋮ A Legendrian Turaev torsion via generating families ⋮ Additivity for the parametrized topological Euler characteristic and Reidemeister torsion ⋮ Exotic smooth structures on topological fiber bundles II ⋮ Gluing formula of real analytic torsion forms and adiabatic limit ⋮ Homotopy groups of the moduli space of metrics of positive scalar curvature ⋮ Axioms for higher torsion invariants of smooth bundles

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