Manuscript XI-F@2 · XI-F-v2.tex · section · f4899be0

Conclusion

Decision, exclusions, and handoff › Conclusion · lines 1481–1499

C_{3} \in / F_{mc, pol} : the frozen cubic kernel carries \pm d t at Σ; u_{3} [γ + K ξ] - u_{3} [γ] = L_{ξ} γ + \frac{1}{2} L_{ξ} K ξ + K ζ_{gf} + P E_{0}^{R} L^{dens}_{ξ} (A γ), ζ_{gf} = - E_{0}^{R} D s_{ξ}; A_{2}^{(3)} [γ + K ξ] - A_{2}^{(3)} [γ] = A_{1} [K ζ_{gf}; ϕ_{0}] (A γ = 0 on U), - I + I + 0 = 0 on the witness.

A reader can now see that $C_{3}$ is not an element of the frozen algebra, and that the second $I$ of the cubic variation is cancelled by the held-fixed term it was always paired with, while the gauge-fixed companion contributes zero. A zero sum does not construct the interacting class XI-E withheld.

Displayed formulas in this passage

unlabeled · line 1483
$C_{3} \in / F_{mc, pol} : the frozen cubic kernel carries \pm d t at Σ; u_{3} [γ + K ξ] - u_{3} [γ] = L_{ξ} γ + \frac{1}{2} L_{ξ} K ξ + K ζ_{gf} + P E_{0}^{R} L^{dens}_{ξ} (A γ), ζ_{gf} = - E_{0}^{R} D s_{ξ}; A_{2}^{(3)} [γ + K ξ] - A_{2}^{(3)} [γ] = A_{1} [K ζ_{gf}; ϕ_{0}] (A γ = 0 on U), - I + I + 0 = 0 on the witness.$