Twisted topological structures related to M-branes

Abstract

Studying the M-branes leads us naturally to new structures that we call Membrane-, Membrane^c-, String^K(Z,3)- and Fivebrane^K(Z,4)-structures, which we show can also have twisted counterparts. We study some of their basic properties, highlight analogies with structures associated with lower levels of the Whitehead tower of the orthogonal group, and demonstrate the relations to M-branes.

17 pages, title changed on referee's request, minor changes to improve presentation, typos corrected

References in corpus (9)

• Twisted differential String and Fivebrane structures
• The M-theory 3-form and E8 gauge theory
• Can D-Branes Wrap Nonrepresentable Cycles?
• Type II Actions from 11-Dimensional Chern-Simons Theories
• Geometry of Spin and Spin^c structures in the M-theory partition function
• An approach to anomalies in M-theory via KSpin
• A Higher Twist in String Theory
• Type I D-branes in an H-flux and twisted KO-theory
• Geometric and topological structures related to M-branes II: Twisted String and String^c structures

Cited by in corpus (14)

• Twisted differential String and Fivebrane structures
• A higher stacky perspective on Chern-Simons theory
• Extended higher cup-product Chern-Simons theories
• Framed M-branes, corners, and topological invariants
• The E8 moduli 3-stack of the C-field in M-theory
• M/F-Theory as Mf-Theory
• Twisted Morava K-theory and E-theory
• Twisted topological structures related to M-branes II: Twisted Wu and Wu^c structures
• Bordism for the 2-group symmetries of the heterotic and CHL strings
• Ninebrane structures
• Variations of rational higher tangential structures
• Topological aspects of the NS5-brane
• Topological actions via gauge variations of higher structures
• The Smith Fiber Sequence and Invertible Field Theories