First symplectic Chern class and Maslov indices

DOI10.1007/BF01086635zbMath0612.55019MaRDI QIDQ1088201

Vladimir G. Turaev

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

group cohomologyfirst Chern classbar resolutionbinary Maslov indexrepresenting cocyclesymplectic group with discrete topologyMaslov indices in Lagrangian geometry

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Lie groups (22E99) Cohomology theory for linear algebraic groups (20G10) Connections of group theory with homological algebra and category theory (20J99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Other matrix groups over fields (20H20) Serre spectral sequences (55T10)

Related Items (6)

The Meyer function on the handlebody group ⋮ The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds ⋮ A local signature for fibered 4-manifolds with a finite group action ⋮ Symplectic structure for general relativity and Einstein–Brillouin–Keller quantization ⋮ Maslov index, lagrangians, mapping class groups and TQFT ⋮ Two functions on \(\mathrm{Sp}(g,\mathbb{R})\)

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
• Die Signatur von Flächenbündeln
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: First symplectic Chern class and Maslov indices