Geometric and topological structures related to M-branes

Details Geometric and topological structures related to M-branes Geometric and topological structures related to M-branes

2010-01-27

arxiv.org/abs/1001.5020v2

Proc. Symp. Pure Math. 81 (2010), 181-236

Mathematics

Differential Geometry

56 pages, typos and minor corrections, published version

Scientific paper

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. We survey background material and related results in the process.

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