Comptes Rendus. Mathématique (Jul 2020)
Indecomposable $K_1$ classes on a Surface and Membrane Integrals
Abstract
Let $X$ be a projective algebraic surface. We recall the $K$-group $K_{1,\mathrm{ind}}^{(2)}(X)$ of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.