Hopkins, MichaelGuo, Meng2019-05-202018-052018-05-112018http://nrs.harvard.edu/urn-3:HUL.InstRepos:40050106In this paper, we compute several cobordism groups. We use these calculations to classify invertible extended topological field theory with Hn structures and give a classification of Symmetric Protected Topological (SPT) phases with corresponding symmetry groups.application/pdfenMathematicsThesis or Dissertation2019-05-20