On the extension problem for weak moment maps

TL;DR

This paper investigates the conditions under which weak and homotopy moment maps exist and are equivariant in multisymplectic geometry, clarifying their relationships and differences.

Contribution

It provides a comparative analysis of existence and equivariance properties for weak and homotopy moment maps in multisymplectic geometry.

Findings

Identifies conditions for existence of weak and homotopy moment maps.

Analyzes equivariance phenomena for these maps.

Clarifies differences between weak and homotopy moment maps.

Abstract

We compare existence and equivariance phenomena for weak moment maps and homotopy moment maps in multisymplectic geometry.