Mod 3 Congruence and Twisted Signature of 24 Dimensional String Manifolds
Qingtao Chen, Fei Han
TL;DR
This paper investigates the mod 3 congruence properties of twisted signatures in 24-dimensional string manifolds by leveraging modularity of the Witten genus and specific modular forms.
Contribution
It introduces new mod 3 congruence results for twisted signatures of string manifolds using advanced modular form techniques.
Findings
Established mod 3 congruences for twisted signatures
Connected modularity properties with geometric invariants
Extended understanding of string manifold invariants
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology