Bloch-Ogus properties for topological cycle theory, by Eric M. Friedlander

We reformulate and extend "morphic cohomology" developed by the author and H.B. Lawson so that it together with "Lawson homology" satisfy the axioms of S. Bloch and A. Ogus for a "Poincar\'e duality theory with supports" on complex quasi-projective varieties. The Bloch-Ogus properties serve as a guide to the formulation of "correct" definitions and confirm that this theory fits with other algebro-geometric theories even though originating outside of traditional algebraic geometry.


Eric M. Friedlander <eric@math.nwu.edu>