Real Determinant Line Bundles

Andrei Teleman (1) , Christian Okonek (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Institut für Mathematik [Zürich]

This article is an expanded version of the talk given by Ch. O. at the Second Latin Congress on "Symmetries in Geometry and Physics" in Curitiba, Brazil in December 2010. In this version we explain the topological and gauge-theoretical aspects of our paper "Abelian Yang-Mills theory on Real tori and Theta divisors of Klein surfaces", Comm. Math. Phys. Vol. 323, 813-858 (2013)

Mots clés: Real determinant line bundles; Klein surfaces; real Theta divisors; Yang-Mills connections

Domaines: Géométrie algébrique [math.AG]; Topologie géométrique [math.GT]; Géométrie différentielle [math.DG]

Andrei Teleman, Christian Okonek. Real Determinant Line Bundles. Matemática Contemporânea, 2012, 41, pp.61-74. ⟨hal-00881513⟩