Conformal Geometry and Invariants of 3-strand Brownian Braids
Sergei K. Nechaev 1, Raphael Voituriez 2 Nuclear Physics B 714 (2005) 336-356 We propose a simple geometrical construction of topological invariants of 3-strand Brownian braids viewed as world lines of 3 particles performing independent Brownian motions in the complex plane z. Our construction is based on the properties of conformal maps of doubly-punctured plane z to the universal covering […]
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