Author Description

The author defines Nahm transform for parabolic integrable connections with regular singularities and one Poincare rank $1$ irregular singularity on the Riemann sphere. After a first definition using $L^2$-cohomology, he gives an algebraic description in terms of hypercohomology. Exploiting these different interpretations, he gives the transformed object by explicit analytic formulas as well as geometrically, by its spectral curve. Finally, he shows that this transform is (up to a sign) an involution.