Integration of time-varying cocyclic one-forms against rough paths
arXiv:1408.2785
Abstract
We embed the rough integration in a larger geometrical/algebraic framework of integrating one-forms against group-valued paths, and reduce the rough integral to an inhomogeneous analogue of the classical Young integral. We define dominated paths as integrals of one-forms, and demonstrate that they are stable under basic operations.
34 pages. Improved presentation and simplified proof