Linking numbers and special differential characters in arithmetic hyperbolic manifolds
Mads Bjerge Christensen
Abstract
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 properties including in particular their expected current equations.
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