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Nuclear Physics B
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 surface. The special attention is paid to the case of indistinguishable particles. Our method of conformal maps allows us to investigate the statistical properties of the topologicaldoi:10.1016/j.nuclphysb.2005.02.019 fatcat:xv5z6o6etna2lkynuyimbr5xli