Geometric and topological structures related to M-branes

Understand

We consider the topological and geometric structures associated with cohomological and homological objects in M-theory.

• For the latter, we have M2-branes and M5-branes, the analysis of which requires the underlying spacetime to admit a String structure and a Fivebrane structure, respectively.
• For the former, we study how the fields in M-theory are associated with the above structures, with homotopy algebras, with twisted cohomology, and with generalized cohomology.
• We also explain how the corresponding charges should take values in Topological Modular forms.