Kähler classes on universal moduli spaces and volumina of Quot spaces

Andrei Teleman (1) , Christian Okonek (2)

1 I2M - Institut de Mathématiques de Marseille
2 Institut für Mathematik [Zürich]

We study canonical Kähler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the Kähler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute the volumina of certain Quot spaces.

Mots clés: Kähler classes; Universal moduli spaces; Donaldson classes; Volumina

Domaines: Géométrie différentielle [math.DG]; Variables complexes [math.CV]; Géométrie algébrique [math.AG]

Andrei Teleman, Christian Okonek. Kähler classes on universal moduli spaces and volumina of Quot spaces. Journal of Geometry and Physics, 2015, 96, pp.81-106. ⟨10.1016/j.geomphys.2015.06.004⟩. ⟨hal-01221938⟩