Manuscript VII-A@1 · VII-A.tex · section · 11da3fe6

Classical comparison with fixed Cauchy data

Support and comparison of switches › Classical comparison with fixed Cauchy data · lines 1722–1735

VII-A@1#eq:requivariance

If a gauge transformation is supported inside a common plateau of $g_{1}$ and $g_{2}$ , uniqueness also gives

r_{21} [F_{κ}^{*} g] (F_{κ}^{*} ψ) = F_{κ}^{*} (r_{21} [g] ψ) (mod κ^{3}) .

Thus the classical comparison respects the common restricted gauge domain.

Displayed formulas in this passage

VII-A@1#eq:requivariance · line 1726
$r_{21} [F_{κ}^{*} g] (F_{κ}^{*} ψ) = F_{κ}^{*} (r_{21} [g] ψ) (mod κ^{3}) .$