Lie monoid actions in Morse theory
Let G,G′,H,H′G,G',H,H'G,G′,H,H′ be compact Lie monoids, let X,X′X,X'X,X′ be closed smooth manifolds acted on by G×HG\times HG×H and G′×H′G'\times H'G′×H′ respectively, let φ :G→G′\varphi\colon G\to G'φ:G→G′ and…