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The eliminative view of gauge degrees of freedom -- the view that they arisesolely from descriptive redundancy and are therefore eliminable from the theory-- is a lively topic of debate in the philosophy of physics. Recent workattempts to leverage properties of the QCD $\theta_{\text{YM}}$-term to providea novel argument against the eliminative view. The argument is based on theclaim that the QCD $\theta_{\text{YM}}$-term changes under "large" gaugetransformations. Here we review geometrical propositions about fiber bundlesthat unequivocally falsify these claims: the $\theta_{\text{ YM}}$-term encodestopological features of the fiber bundle used to represent gauge degrees offreedom, but it is fully gauge-invariant. Nonetheless, within the essentiallyclassical viewpoint pursued here, the physical role of the$\theta_{\text{YM}}$-term shows the physical importance of bundle topology (orsuperpositions thereof) and thus weighs against (a naive) eliminativism.

Large gauge transformations, gauge invariance, and the QCD $\theta_{\text{YM}}$-term