# LIB2-091 — The declared invariant-connection class cannot cancel the holonomy obstruction

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.183)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

Within the declared left-E7(7)-invariant principal SU(8) connection class, the forced canonical connection has full SU(8) holonomy escaping Ksel, so no connection in that class cancels the obstruction.

## Caution

This class-relative obstruction is not a topological no-section theorem and does not exclude a non-equivariant preserving connection.

## Primary source

Appendix F, §8, Declared connection class, PDF p.189: "left-E7(7) -invariant principal SU (8) connections compatible with Ω and the loaded Ksel ."

## Machine

- url: /library-v2/LIB2-091/
- content_sha256: 05b6eedb6981f7f463162b3fe1bfa6152878cbe6c8d3ebd84757d37d85ec09fa
- candidate_ids: C2-105

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP