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Showing 1 to 3 of 3 for “"Autoequivalences"”.
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On tensor autoequivalences of graded fusion categories
… group. We use such features to study tensor autoequivalences.</p> <p>Pointed fusion categories: categories for which all simple objects are tensor invertible, provide our prototype for graded fusion categories. Such categories are well understood; each pointed fusion category has tensor …
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The Fukaya category, exotic forms and exotic autoequivalences
… of the symplectic manifold should induce autoequivalences of the derived Fukaya category, although precisely what autoequivalences are thus obtained has been established in very few cases. Given a Lagrangian V ≅ CPn in a symplectic manifold (M,ω), there is an associated symplectomorphism …
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Projective twists and the Hopf correspondence
… \pi_0(\mathrm{Symp}_{ct}(W))$ (and the induced autoequivalences of the compact Fukaya category $\operatorname{\mathcal{F}uk}(W)$) with the Dehn twists $\tau_{L_i} \in \pi_{0}(\mathrm{Symp}_{ct}(Y))$ (and the corresponding autoequivalences of $\operatorname{\mathcal{F}uk}(Y)$), for $i=1, \dots …