## On the Groupoid of Transformations of Rigid Structures on Surfaces

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 4, Page 599--646.

Funar, Louis ; Gelca, R\u azvan
On the Groupoid of Transformations of Rigid Structures on Surfaces
We prove that the 2-groupoid of transformations of rigid structures on surfaces has a finite presentation, establishing a result first conjectured by Moore and Seiberg. We also show that a finite dimensional, unitary, cyclic topological quantum field theory gives rise to a representation of this $2$-groupoid.