Floer Field Theory for Coprime Rank and Degree Katrin Wehrheim And

We construct partial category-valued field theories in 2+1-dimensions using Lagrangian Floer theory in moduli spaces of central-curvature unitary connections with fixed determinant of rank r and degree d where r, d are coprime positive integers. These theories associate to a closed, connected, oriented surface the Fukaya category of the moduli space, and to… (More)