Mod 3 Congruence and Twisted Signature of 24 Dimensional String Manifolds

2012/11/29 by Qingtao Chen, Chen, Qingtao, Fei Han +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.DG

paper · pdf · doi:10.48550/arxiv.1211.6949

final version, to appear in Transactions of AMS

arxiv created 2014/07/09 · arxiv updated 2014/07/10

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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