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Mod 3 Congruence Families for twisted signatures of string manifolds in dimensions up to twenty-eight
In the paper, we establish congruences for twisted Dirac indices and signatures on closed string manifolds by specializing the two-parameter modular forms of Liu and Wang to the tangent bundle. Fourier coefficient comparisons yield uniform congruences modulo $3$ in dimensions $4k$, $1\leq k\leq7$. S
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