TY - JOUR
T1 - Twisted topological structures related to M-branes II
T2 - Twisted Wu and Wuc structures
AU - Sati, Hisham
N1 - Funding Information:
The author would like to thank IHES, Bures-sur-Yvette, for kind hospitality and inspiring atmosphere during the writing of this paper. This work was supported by NSF Grant PHY-1102218.
PY - 2012/11
Y1 - 2012/11
N2 - Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.
AB - Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.
KW - M-branes
KW - M-theory
KW - Spin structure and generalizations
KW - StiefelWhitney classes
KW - String structure
KW - Wu classes
KW - anomalies
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U2 - 10.1142/S0219887812500569
DO - 10.1142/S0219887812500569
M3 - Article
AN - SCOPUS:84866103208
SN - 0219-8878
VL - 9
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
IS - 7
M1 - 1250056
ER -