Geodesic
Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 92-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

We express Hurwitz numbers of polynomials of arbitrary topological type in terms of intersection numbers on the moduli space of curves of genus zero with marked points.
Keywords: Hurwitz numbers, polynomials, moduli space of curves, intersection numbers. 
@article{FAA_2003_37_1_a10,
     author = {S. V. Shadrin},
     title = {Polynomial {Hurwitz} {Numbers} and {Intersections} on $\overline{\mathcal{M}}_{0,k}$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {92--94},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a10/}
}
TY  - JOUR
AU  - S. V. Shadrin
TI  - Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2003
SP  - 92
EP  - 94
VL  - 37
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a10/
LA  - ru
ID  - FAA_2003_37_1_a10
ER  - 
%0 Journal Article
%A S. V. Shadrin
%T Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2003
%P 92-94
%V 37
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a10/
%G ru
%F FAA_2003_37_1_a10
S. V. Shadrin. Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 92-94. http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a10/

[1] Ekedahl T., Lando S., Shapiro M., Vainshtein A., “Hurwitz numbers and intersections on moduli spaces of curves”, Invent. Math., 146 (2001), 297–327 | DOI | MR | Zbl

[2] Harris J., Mumford D., “On the Kodaira dimension of the moduli space of curves”, Invent. Math., 67 (1982), 23–86 | DOI | MR | Zbl

[3] Ionel E., “Topological recursive relations in $H_{2g}(\mathscr M^{g,n})$”, Invent. Math., 148:3 (2002), 627–658 | DOI | MR | Zbl

[4] Keel S., “Intersection theory of moduli space of stable $n$-pointed curves of genus”, Trans. Amer. Math. Soc., 330:2 (1992), 545–574 | DOI | MR | Zbl

[5] Lando S. K., Zvonkin D. A., “O kratnostyakh otobrazheniya Lyashko–Loiengi na stratakh diskriminanta”, Funkts. analiz i ego pril., 33:3 (1999), 21–34 | DOI | MR | Zbl

[6] Okounkov A., Pandharipande R., arXiv: /math.AG/0101147

[7] Shadrin S. V., arXiv: /math.AG/0209282