The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials

• Autorzy: Clare Baines
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 19-40

Daty

wydano

1999

Twórcy

autor

Clare Baines

• Department of Mathematical Sciences, Pure Mathematics Division, University of Liverpool, Liverpool L69 3BX, UK

Bibliografia

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• [2] M. El Marraki, N. Hanusse, J. Zipperer and A. Zvonkin, Cacti, braids and complex polynomials, Sém. Lothar. Combin. 37 (1997), Art. B37b, http://cartan.u-strasbg.fr/~slc
• [3] V. V. Goryunov, S. K. Lando, On enumeration of meromorphic functions on the line, Preprint, 1997.
• [4] I. P. Goulden, D. M. Jackson, Transitive factorisations into transpositions and holomorphic mappings on the sphere, Proc. Amer. Math. Soc. 125 (1997), 51-60.
• [5] I. P. Goulden, D. M. Jackson, The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group, European J. Combin. 13 (1992), 357-365.
• [6] A. Hurwitz, Über Riemann'sche Fläche mit gegebenen Verzweigungspunkten, Math. Ann. 39 (1891), 1-66.
• [7] A. G. Khovanskiĭ, S. Zdravkovska, Branched covers of $S^2$ and braid groups, J. Knot Theory Ramifications 5 (1996), 55-75.
• [8] S. K. Lando, D. Zvonkine, On multiplicities of the Lyashko-Looijenga mapping on the discriminant strata, Preprint, 1997.
• [9] E. Looijenga, The compliment of the bifurcation variety of a simple singularity, Invent. Math. 23 (1974), 105-116.
• [10] V. Strehl, Reconstruction of a proof by A. Hurwitz, Preprint, 1996.