Inverse KLT kernel of AdS string integrals from the intersection matrix
The paper develops a topological and combinatorial interpretation of Kawai–Lewellen–Tye (KLT) relations for n-point AdS string amplitudes. It reformulates these amplitudes as disk integrals with multiple polylogarithm insertions using twisted de Rham theory over a noncommutative ring. The core finding is that the inverse KLT kernel can be derived from intersection numbers by relating them to twisted cycles in this framework.