Towards Noncommutative Topological Quantum Field Theory: Tangential   Hodge-Witten cohomology
  We present a method to develop a Hodge theory for tangential cohomology of foliations by mimicing Witten's approach to ordinary Morse theory by perturbations of the Laplacian 
Ioannis P. Zois
math.DG hep-th math-ph math.MP