Djounvouna Dinamo

collaborators

3 papers

math.SG2026

Periods, prequantization, and rigidity in relative multisymplectic geometry

Djounvouna Dinamo

Relative multisymplectic geometry replaces differential forms on a single manifold by cocycles in the mapping cone of a smooth map $F : M \to N$ . Building on the relative Cartan…

math.SG2026

Reduction of relative multisymplectic manifolds

Djounvouna Dinamo

We extend the multisymplectic reduction theory of Blacker -- itself the extension of Marsden--Weinstein--Meyer reduction to $k$ -plectic manifolds -- to the setting of \emph{relativ…

math.SG2026

Relative homotopy moment maps

Djounvouna Dinamo

Associated to any smooth map $F : M \to N$ equipped with a closed, nondegenerate relative $(n + 1)$ -form $ϖ$ -- a \emph{relative $n$ -plectic structure} -- is an $L_{\infty}$ -al…