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NUMBER M19047
AUTHOR Song, Jongbaek
TITLE GKM theory for orbifold stratified spaces and application to singular toric varieties
ARCHIVE arXiv:1810.11974
FILE  
JOURNAL TOPOLOGY AND ITS APPLICATIONS, 2021
ABSTRACT We study the GKM theory for a equivariant stratified space having orbifold structures in its successive quotients. Then, we introduce the notion of an almost simple polytope, as well as a divisive toric variety generalizing the concept of a divisive weighted projective space. We employ the GKM theory to compute the generalized equivariant cohomology theories of toric varieties associated to almost simple polytopes and divisive toric varieties. (C) 2020 Elsevier B.V. All rights reserved.
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