Nechaev, Sergei; Vershik, Anatolii Random walks on multiconnected manifolds and conformal field theory. (English) Zbl 0836.60076 J. Phys. A, Math. Gen. 27, No. 7, 2289-2298 (1994). Summary: We propose a simple geometrical method which enables us to link the topological properties of a random walk on the double-punctured plane and the conformal field theory characterized by the central charge \(c = - 2\) and the conformal dimension \(\Delta = - {1 \over 8}\). We discuss briefly the connection between the topological invariants obtained from the conformal methods and the algebraic Alexander invariants for the simplest nontrivial braid \(B_3\). Cited in 1 Document MSC: 60G50 Sums of independent random variables; random walks 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Keywords:Chern-Simons topological field theory; random walk on the double- punctured plane; conformal field theory; topological invariants PDFBibTeX XMLCite \textit{S. Nechaev} and \textit{A. Vershik}, J. Phys. A, Math. Gen. 27, No. 7, 2289--2298 (1994; Zbl 0836.60076) Full Text: DOI