Duistermaat-Heckman formula 1Hamiltonian actions 1localization 1moment maps 1reduction theory 1relative multisymplectic geometry 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.SG2026
Reduction of relative multisymplectic manifolds
Djounvouna Dinamo
The paper extends multisymplectic reduction theory to relative multisymplectic manifolds, introducing relative Hamiltonian pairs, moment maps, and proving a reduction theorem toget…
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 . Building on the relative Cartan…
math.SG2026
Relative homotopy moment maps
Djounvouna Dinamo
Associated to any smooth map equipped with a closed, nondegenerate relative -form -- a \emph{relative -plectic structure} -- is an -al…