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paper

Mod 3 Congruence and Twisted Signature of 24 Dimensional String Manifolds

arXiv:1211.6949

Abstract

In this paper, by combining modularity of the Witten genus and the modular forms constructed by Liu and Wang, we establish mod 3 congruence properties of certain twisted signatures of 24 dimensional string manifolds.

final version, to appear in Transactions of AMS