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Linking numbers and special differential characters in arithmetic hyperbolic manifolds

Christensen, Mads Bjerge
arXiv (All) · Papers
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differential-geometrynumber-theory
We construct non-holomorphic Siegel modular forms whose coefficients encode linking numbers in arithmetic hyperbolic manifolds of simplest type. Our proofs rely on an improved understanding of the transgression forms appearing in Kudla--Millson theory, and along the way we establish some structural
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