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. 
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     author = {Taras E. Panov and Indira K. Zeinikesheva},
     title = {Equivariant {Cohomology} of {Moment{\textendash}Angle} {Complexes} with {Respect} to {Coordinate} {Subtori}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     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/

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