193 citations · 494 across the 27 of their papers we have counts for
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math.AG2012★ 34 cited
The Gorenstein conjecture fails for the tautological ring of
Dan Petersen, Orsola Tommasi
Let be the smallest integer such that there is a non-tautological cohomology class of even degree on . We remark that there is such a non-tautological c…
math.AG2012★ 43 cited
The structure of the tautological ring in genus one
Dan Petersen
We prove Getzler's claims about the tautological ring of stable curves of genus one, i.e. that the tautological ring coincides with the even cohomology ring, and that all relations…
math.AG2012★ 20 cited
On the operad structure of admissible G-covers
Dan Petersen
We describe the modular operad structure on the moduli spaces of pointed stable curves equipped with an admissible -cover. To do this we are forced to introduce the notion of an…