In this paper a fundamental duality is established between algebraic cycles and algebraic cocycles on a smooth projective variety. The proof makes use of a new Chow moving lemma for families. If X is a smooth projective variety of dimension n, our duality map induces isomorphisms LH(X) → Ln−sH2n−k(X) for 2s ≤ k which carry over via natural transformations to the Poincaré duality isomorphism H(X...

We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M . By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M , various objects and symmetries in Chern-Simons theory become related to objects and operations in dual 2d, 3d, and 4d theories. For example, the space of flat SL(2,C) connections on M is identified with the space of...

We describe a duality mapping between STRIPS planning tasks. By exchanging the initial and goal conditions, taking their respective complements, and swapping for every action its precondition and delete list, one obtains for every STRIPS task its dual version, which has a solution if and only if the original does. This is proved by showing that the described transformation essentially turns pro...

This article proposes a solution to contrast agent detection in angiograms by considering X-ray images as intensity images and applying mathematical morphology operators. We present two detection approaches, one based on the intensity infimum and the other based on the dual reconstruction. The evaluation using several data sets shows that both techniques are able to detect the presence of the c...