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math.AT2021★ 3 cited
Double cohomology of moment-angle complexes
Ivan Limonchenko, Taras Panov, Jongbaek Song +1
We put a cochain complex structure on the cohomology of a moment-angle complex and call the resulting cohomology the double cohomology, ${HH}^…
math.AT2021
Conic decomposition of a toric variety and its application to cohomology
Seonjeong Park, Jongbaek Song
We introduce the notion of a \emph{conic sequence} of a convex polytope. It is a way of building up a polytope starting from a vertex and attaching faces one by one with certain re…
math.AG2021
Toric orbifolds associated with partitioned weight polytopes in classical types
Tatsuya Horiguchi, Mikiya Masuda, John Shareshian +1
Given a root system of type , , , or in Euclidean space , let be the associated Weyl group. For a point not orthogonal to any of the roots…