Abstract
There are some interesting connections between the theory of algebraic functions and Artin’s theory of braids. For instance, the space G n of polynomials of degree n not having multiple roots is the space K(π ,1) for the group B(n) of braids with n strings:
π1(G n ) = B(n), π i (G n ) = 0 for i > 1. (1)
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© 1970 Izdat. Moscow Univ.
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Arnold, V.I. (1970). On some topological invariants of algebraic functions. In: Givental, A., Khesin, B., Varchenko, A., Vassiliev, V., Viro, O. (eds) Vladimir I. Arnold - Collected Works. Vladimir I. Arnold - Collected Works, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31031-7_23
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DOI: https://doi.org/10.1007/978-3-642-31031-7_23
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