Geodesic
Equivariant Cohomology of Moment--Angle Complexes with Respect to Coordinate Subtori
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 157-167

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We compute the equivariant cohomology $H^*_{T_I}(\mathcal Z_{\mathcal K})$ of moment–angle complexes $\mathcal Z_{\mathcal K}$ with respect to the action of coordinate subtori $T_I \subset T^m$. We give a criterion for $\mathcal Z_{\mathcal K}$ to be equivariantly formal, and obtain specifications for the cases of flag complexes and graphs.
Mots-clés : moment–angle complex
Keywords: equivariant cohomology, equivariant formality, graded modules over polynomial rings. 
@article{TM_2022_317_a6,
     author = {Taras E. Panov and Indira K. Zeinikesheva},
     title = {Equivariant {Cohomology} of {Moment--Angle} {Complexes} with {Respect} to {Coordinate} {Subtori}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {157--167},
     publisher = {mathdoc},
     volume = {317},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2022_317_a6/}
}
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Taras E. Panov; Indira K. Zeinikesheva. Equivariant Cohomology of Moment--Angle Complexes with Respect to Coordinate Subtori. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 157-167. http://geodesic.mathdoc.fr/item/TM_2022_317_a6/