99 research outputs found
LIPIcs, Volume 258, SoCG 2023, Complete Volume
LIPIcs, Volume 258, SoCG 2023, Complete Volum
On moduli spaces of Riemann surfaces : new generators in their unstable homology and the homotopy type of their harmonic compactification
By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which n are incoming and m are outgoing. The study of these spaces reflects a strong relationship between geometry, topology and mathematical physics. In this thesis, we study (1) the homotopy type of Bödigheimer's harmonic compactification of these moduli spaces (and of variations of these) and (2) the unstable homology of these moduli spaces (and of variations of these)
- …