Modular Invariance and Characteristic Numbers

Details Modular Invariance and Characteristic Numbers Modular Invariance and Characteristic Numbers

1994-04-08

arxiv.org/abs/hep-th/9404053v1

Commun.Math.Phys.174:29-42,1995

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1007/BF02099462

We show that a general miraculous cancellation formula, the divisibility of
certain characteristic numbers and some other topologiclal results are con-
sequences of the modular invariance of elliptic operators on loop spaces.
Previously we have shown that modular invariance also implies the rigidity of
many elliptic operators on loop spaces.

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