Proefschrift
Tautological relations and double ramification cycles with spin parity
In this thesis, we address two problems concerning the tautological rings of the moduli space of curves.
- Auteur
- G. Politopoulos
- Datum
- 12 december 2025
- Links
- Thesis in Leiden Repository
The first problem concerns expressing the Chern classes of the Hodge bundle within the tautological ring in terms of decorated strata classes of a particular form. The second problem we address is a proof of a conjecture by Costantini-Sauvaget-Schmitt which concerns two different expressions of the so-called spin double ramification cycles, the spin version of Pixton's formula and the spin version of star graph expression. After proving the conjecture of Costantini-Sauvaget-Schmitt, we explain in the appendix how these expressions can be used to compute all spin classes of strata of k-differentials.