Year: 2026
Type: preprint
Abstract: Symmetric holomorphic functions on permutation-invariant domains modeled on the space of null sequences are constant: permutation symmetry forces the differential to vanish along constant tails, and constancy propagates along finitely supported segments. The paper locates the exact boundary of the phenomenon, with a proved obstruction at the exceptional coordinates and a Banach-limit counterexample on the bounded sequences. Every numbered mathematical statement of Sections 2-5 is formally verified in Lean 4 against Mathlib; the development compiles without sorry and depends only on the axioms propext, Classical.choice, and Quot.sound.
Source: arXiv (Cornell University)
Authors: Feldman, David, Bannon, Jon
Institutions: University of New Hampshire, Siena College
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203528211