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Infinitesimal Liouville currents, cross-ratios and intersection numbers
Infinitesimal Liouville currents cross-ratios intersection numbers
2010/12/8
Many classical objects on a surface S can be interpreted as cross-ratio functions on the circle at infinity of the universal covering eS.This includes closed curves considered up to homotopy, metrics ...
Effective recursion formulae for computing intersection numbers
Effective recursion formulae computing intersection numbers
2018/4/20
This paper should be considered as a sequel to our previous paper on n-point functions of intersection numbers [5]. Here we prove several new e®ective recursion
formulae for computing all inters...
New results of intersection numbers on moduli spaces of curves
New results intersection numbers moduli spaces curves
2018/4/20
We present a series of new results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witte...
The n-point functions for intersection numbers on moduli spaces of curves
n-point functions intersection numbers moduli spaces curves
2018/4/20
We derive from Witten's KdV equation a simple formula of the $n$-point functions for intersection numbers on moduli spaces of curves, generalizing Dijkgraaf's two-point function and Zagier's three-poi...
New properties of the intersection numbers on moduli spaces of curves
New properties intersection numbers moduli spaces curves
2018/4/20
We present certain new properties about the intersection numbers on moduli spaces of curves $\overline{\sM}_{g,n}$, including a simple explicit formula of $n$-point functions and several new identitie...
Intersection numbers on $\bar{\sM}_{g,n}$ and automorphisms of stable curves
Intersection numbers automorphisms stable curves
2018/4/20
Due to the orbifold singularities, the intersection numbers on the moduli space of curves Mg,n are in general rational numbers rather than integers. We study the properties of the denominators of thes...