Two-vector bundles and forms of elliptic cohomology (original) (raw)

This work investigates a geometrically defined elliptic cohomology theory, drawing inspiration from the works of Professor Graeme Segal. The paper examines the connections between various cohomology theories, particularly emphasizing those that are geometrically motivated, such as de Rham cohomology and topological K-theory. The authors seek to connect these ideas with elliptic curves and explore the conditions under which elliptic cohomology can be viewed through a geometric lens, as well as the implications of chromatic filtration in stable homotopy theory.