Mod 3 congruence and twisted signature of 24 dimensional string manifolds

Chen, Qingtao; Han, Fei

doi:10.1090/S0002-9947-2014-06241-7

Mod 3 congruence and twisted signature of 24 dimensional string manifolds
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Trans. Amer. Math. Soc. 367 (2015), 2959-2977 Request permission

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.

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