String theory, ot its modern incarnation M-theory, gives a huge generalization of classical geometry. I indicate how it can be considered as a two-parameter deformation, where one parameter controls the generalization from points to loops, and the other parameter controls the sum over topologies of Riemann surfaces. The final mathematical formulation of M-theory will have to make contact with the theory of vector bundles, K-theory and non- commutative geometry. 1.
CITATION STYLE
Dijkgraaf, R. (2001). The Mathematics of M-Theory. In European Congress of Mathematics (pp. 1–19). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8268-2_1
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