Is there a paper\book that lists the top intersections of Hodge classes and tautological classes on $\overline{\mathcal{M}}\_{g,n}$ for small $g$ and $k$, e.g. $g=2,3$ and $k=0,1,2$ ?



Intersection theory on M_{g,n}
Perhaps these papers could be useful:


* C. Faber, "*Maple program for calculating intersection numbers on moduli spaces of curves*", (<http://math.stanford.edu/~vakil/programs/index.html>).
* S. Yang, "*Intersection numbers on $\overline{M}\_{g,n}$*", (<http://msp.org/jsag/2010/2-1/jsag-v2-n1-p01-s.pdf>).


The algorithm of the second paper has been implemented in this MacAulay2 package: <http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.6.0.1-20131031-2/share/doc/Macaulay2/HodgeIntegrals/html/>.


With this you can easily compute intersections of tautological classes on $\overline{M}\_{g,n}$ for small values of $g,n$.


