Tautological and non-tautological cohomology of the moduli space of curves
pith:S5QY67EF Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{S5QY67EF}
Prints a linked pith:S5QY67EF badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
After a short exposition of the basic properties of the tautological ring of the moduli space of genus g Deligne-Mumford stable curves with n markings, we explain three methods of detecting non-tautological classes in cohomology. The first is via curve counting over finite fields. The second is by obtaining length bounds on the action of the symmetric group S_n on tautological classes. The third is via classical boundary geometry. Several new non-tautological classes are found.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Gertsch quotient living in the "poor man's adele ring" $\mathcal{A}$: Kurepa-Bell-Wilson congruence
A Kurepa-Bell-Wilson congruence is shown to generate a non-zero Gertsch quotient residing in the poor man's adele ring for sufficiently large primes.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.