On the extension problem for weak moment maps
We compare existence and equivariance phenomena for weak moment maps and homotopy moment maps in multisymplectic geometry.
math.DG↗
arXiv subjects
Leyli Mammadova
Publications and source records attributed to Leyli Mammadova.
Lie 2-algebra moment maps in multisymplectic geometry
Consider a closed non-degenerate 3-form $ω$ with an infinitesimal action of a Lie algebra $\mathfrak{g}$. Motivated by the fact that the observables associated to $ω$ form a Lie 2-algebra, we introduce homotopy moment maps defined on a Lie 2-algebra rather than just on the Lie algebra $\mathfrak{g}$. We formulate existence criteria and provide a construction for such homotopy moment maps, by characterizing them in terms of cohomology.
math.DG↗