On the cohomology groups of complexes of homogeneous forms on loop spaces of smooth manifolds

DOI10.1007/BF02463337zbMath0933.58025MaRDI QIDQ1289325

Oleg I. Mokhov

Publication date: 27 March 2000

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

zbMATH Keywords

complexhomogeneous formcohomology grouploop space

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Differential complexes (58J10) Manifolds of mappings (58D15) Cohomotopy groups (55Q55)

Cites Work

• Dubrovin-Novikov type Poisson brackets (DN-brackets)
• Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
• Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory
• Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Differential geometric Poisson bivectors in one space variable
• The averaging of local field-theoretic Poisson brackets
• Complex homogeneous forms on loop spaces of smooth manifolds and their cohomology groups
• Conservation of Hamiltonian structures in Whitham's averaging method
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
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