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The Rotation Class of a Flow

2000/10/31 by Alex Clark, Clark, Alex
Mathematics · Physics and Astronomy · #37B05 #37B45 #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/0010325

openalex publication_date 2000/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalizing a construction of A. Weil, we introduce a topological invariant for flows on compact, connected, finite dimensional, abelian, topological groups. We calculate this invariant for some examples and compare the invariant with other flow invariants.

Citations

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