Euler and Maslov cocycles

DOI10.1007/BF01934324zbMath0894.55006OpenAlexW2029657122MaRDI QIDQ1195988

Étienne Ghys, Jean Barge

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165000

zbMATH Keywords

bounded cohomologyHirzebruch signature formulaDedekind \(n\)-function

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Applied homological algebra and category theory in algebraic topology (55U99)

Related Items (55)

Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Dedekind sums and signatures of intersection forms ⋮ QUASI-MORPHISMS AND L^p-METRICS ON GROUPS OF VOLUME-PRESERVING DIFFEOMORPHISMS ⋮ Strong property (T) for higher-rank simple Lie groups: Figure 1. ⋮ FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH ⋮ On central extensions of mapping class groups ⋮ Linking invariants for smooth minimal solenoids ⋮ Adiabatic limits of \(\eta \)-invariants and the Meyer functions ⋮ Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture ⋮ The cohomology of semi-simple Lie groups, viewed from infinity ⋮ Homogeneous quasimorphisms, \(C^0\)-topology and Lagrangian intersection ⋮ A primitive of the generalized Maslov cocycle ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ Theta functions, root systems and 3-manifold invariants ⋮ A topological invariant for volume preserving diffeomorphisms ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ Signature cocycles on the mapping class group and symplectic groups ⋮ Aut-invariant quasimorphisms on free products ⋮ Asymptotic shifting numbers in triangulated categories ⋮ Reeb vector fields and open book decompositions ⋮ Reciprocity formulae for multiple Dedekind-Rademacher sums ⋮ Simple groups with infinite verbal width and the same positive theory as free groups ⋮ A hyperbolic analogue of the Rademacher symbol ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ Arithmetic of higher dimensional Dedekind-Rademacher sums ⋮ The generalized Maslov index ⋮ The Conley conjecture and beyond ⋮ Right-veering diffeomorphisms of compact surfaces with boundary. II. ⋮ A note on stable commutator length in braided Ptolemy-Thompson groups ⋮ Bracket width of simple Lie algebras ⋮ Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Quasi-morphisms on surface diffeomorphism groups ⋮ REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS ⋮ FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE SQUARE WIDTH AND VANISHING STABLE COMMUTATOR LENGTH ⋮ Calabi quasi-morphisms for some non-monotone symplectic manifolds ⋮ CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL ⋮ Equations in simple Lie algebras ⋮ A note on von Neumann rho-invariant of surface bundles over the circle ⋮ Surface group representations with maximal Toledo invariant ⋮ Homogeneous quasimorphisms on the symplectic linear group. ⋮ The Novikov conjecture and the Thompson group ⋮ The second bounded cohomology of an amalgamated free product of groups ⋮ Rigid subsets of symplectic manifolds ⋮ Quasi-morphismes et invariant de Calabi ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths ⋮ ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS ⋮ Braids and Signatures ⋮ Dedekind sums, reciprocity, and non-arithmetic groups ⋮ Reciprocity of Dedekind sums and the Euler class ⋮ Modular knots, automorphic forms, and the Rademacher symbols for triangle groups ⋮ A splicing formula for the LMO invariant ⋮ On the mean Euler characteristic of contact manifolds ⋮ Quasi-total actions and translation numbers

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