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 $k=0,1,2$ ?
$\begingroup$
$\endgroup$
2
asked Apr 17, 2014 at 18:14
Mohammad Farajzadeh-TehraniMohammad Farajzadeh-Tehrani
6,9401 gold badge34 silver badges69 bronze badges
-
$\begingroup$ I am aware of a Macaulay based program doing this but I am looking for some printed numbers. $\endgroup$– Mohammad Farajzadeh-TehraniCommented Apr 17, 2014 at 18:31
-
$\begingroup$ Perhaps Chapter 2 of math.jussieu.fr/~freixas/Site/Recherche_files/SingARR_arxiv.pdf could be useful. $\endgroup$– Ariyan JavanpeykarCommented Apr 19, 2014 at 21:38
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
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 $g,n$.
