Equivariant cohomology of torus orbifolds
Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 299-328
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We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.
Mots-clés :
GKM-orbifold, torus orbifold, equivariant cohomology, GKM-theory, face ring
Darby, Alastair; Kuroki, Shintarô; Song, Jongbaek. Equivariant cohomology of torus orbifolds. Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 299-328. doi: 10.4153/S0008414X20000760
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author = {Darby, Alastair and Kuroki, Shintar\^o and Song, Jongbaek},
title = {Equivariant cohomology of torus orbifolds},
journal = {Canadian journal of mathematics},
pages = {299--328},
year = {2022},
volume = {74},
number = {2},
doi = {10.4153/S0008414X20000760},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000760/}
}
TY - JOUR AU - Darby, Alastair AU - Kuroki, Shintarô AU - Song, Jongbaek TI - Equivariant cohomology of torus orbifolds JO - Canadian journal of mathematics PY - 2022 SP - 299 EP - 328 VL - 74 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000760/ DO - 10.4153/S0008414X20000760 ID - 10_4153_S0008414X20000760 ER -
%0 Journal Article %A Darby, Alastair %A Kuroki, Shintarô %A Song, Jongbaek %T Equivariant cohomology of torus orbifolds %J Canadian journal of mathematics %D 2022 %P 299-328 %V 74 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000760/ %R 10.4153/S0008414X20000760 %F 10_4153_S0008414X20000760
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