Enlacements asymptotiques revisit\'es
Egor Shelukhin

TL;DR
This paper provides a new proof, based on basic complex analysis, of a theorem relating the Calabi homomorphism to average rotation numbers in symplectic geometry.
Contribution
It offers an alternative, simpler proof of a known theorem, enhancing understanding of the Calabi homomorphism's interpretation.
Findings
New proof using basic complex analysis techniques
Clarifies the relationship between Calabi homomorphism and rotation numbers
Simplifies the original proof approach
Abstract
We give an alternative proof of a theorem of Gambaudo-Ghys and Fathi on the interpretation of the Calabi homomorphism for the standard symplectic disc as an average rotation number. This proof uses only basic complex analysis.
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Taxonomy
TopicsGeometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology
