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Mathematical Research Letters

Volume 1, Issue 1, January 1994  pp. 53-64.

On $\bold{SL_2(Z)}$ and Topology

Authors Kefeng Liu
Author institution: MIT

Summary:  In this note we describe some new topological results derived from the modular invariance of certain elliptic operators on loop spaces under the action of $SL_2(\Z)$. The results include very general rigidity, divisibility and vanishing theorems in topology. Complete proofs of the announced results will be published elsewhere.


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