A cocycle for the symplectic first Chern class and the Maslov index

DOI10.1007/BF01076359zbMath0577.55011MaRDI QIDQ1065427

Vladimir G. Turaev

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Chern classgroup cohomologybar-resolutionbinary Maslov indexfirstin Lagrangian geometryMaslov indicesrepresenting cocyclesymplectic group with discrete topology

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (6)

The Gromov norm of the Kähler class of symmetric domains ⋮ Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity ⋮ Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces ⋮ Symplectic structure for general relativity and Einstein–Brillouin–Keller quantization ⋮ Density of Zariski density for surface groups ⋮ Braids and Signatures

Cites Work

• Les ensembles boreliens et les extensions des groupes
• The Weil representation, Maslov index and theta series
• Curvature and characteristic classes
• Characters of the unitary representations of Lie groups: reduction theorems
• On the existence of a connection with curvature zero
• Sur la cohomologie réelle des groupes de Lie simples réels
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