Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Christensen, Mads Bjerge
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221753570