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We study SLE$_{\kappa}$ theory with elements of Quasi-Sure StochasticAnalysis through Aggregation. Specifically, we show how the latter can be usedto construct the SLE$_{\kappa}$ traces quasi-surely (i.e. simultaneously for afamily of probability measures with certain properties) for $\kappa \in\mathcal{K}\cap \mathbb{R}_+ \setminus ([0, \epsilon) \cup \{8\})$, for any$\epsilon>0$ with $\mathcal{K} \subset \mathbb{R}_{+}$ a nontrivial compactinterval, i.e. for all $\kappa$ that are not in a neighborhood of zero and aredifferent from $8$. As a by-product of the analysis, we show in this language aversion of the continuity in $\kappa$ of the SLE$_{\kappa}$ traces for all$\kappa$ in compact intervals as above.

Quasi-Sure Stochastic Analysis through Aggregation and SLE$_\kappa$ Theory