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math.GT2007
Dynamical Systems and Differential Forms. Low Dimensional Hamiltonian Systems
S. P. Novikov
The theory of differential forms began with a discovery of Poincare who found conservation laws of a new type for Hamiltonian systems - The Integral Invariants. Even in the absence…
math.GT2005
Topology of Foliations given by the real part of holomorphic 1-forms
S. P. Novikov
Topology of Foliations of the Riemann Surfaces given by the real part of generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis…