Equivariant Formality for Actions of Torus Groups

[摘要] This paper contains a comparison of severaldefinitions of equivariant formality for actions of torus groups. Wedevelop and prove some relations between the definitions. Focusing onthe case of the circle group, we use $S^1$-equivariant minimal modelsto give a number of examples of $S^1$-spaces illustrating theproperties of the various definitions.

[学科分类] 数学（综合）