3 papers
math.SG2026
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…
math.AT2025
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…
math.AT2025
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…