4 papers
Operadic twisting as an adjunction
Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende
For operads with a map from the curved homotopy Lie operad, we introduce a corresponding curved variant `cTw' of Willwacher's operadic twisting comonad `Tw'. We show that cTw-coalg…
A universal characterization of the curved homotopy Lie and associative operads
Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende
We study the category of nonsymmetric dg operads valued in strict graded-mixed complexes, equipped with a distinguished arity zero weight one element which generates the weight gra…
On Fukaya categories and prequantization bundles
Tatsuki Kuwagaki, Adrian Petr, Vivek Shende
We show: the Floer homology over the Novikov ring of (nonexact!) rational Lagrangians in an (nonexact!) integral symplectic manifold can be computed in terms of exact Lagrangians i…
Mapping tori of -autoequivalences and Legendrian lifts of exact Lagrangians in circular contactizations
Adrian Petr
We study mapping tori of quasi-autoequivalences which induce a free action of on objects. More precisely, we compute the mapping torus…