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Homology groups of simplicial complements

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Publication:335033
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DOI10.1007/s11401-016-0971-7zbMath1353.18017OpenAlexW2509617338MaRDI QIDQ335033

Feifei Fan, Jun Ma, Xiang Jun Wang

Publication date: 2 November 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-0971-7


zbMATH Keywords

Stanley-Reisner ringbarycentric subdivisioninflation complexsimplicial complement


Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes in associative algebras (16E05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Simplicial sets and complexes in algebraic topology (55U10)




Cites Work

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  • Convex polytopes, Coxeter orbifolds and torus actions
  • Taylor and minimal resolutions of homogeneous polynomial ideals
  • The homology of simplicial complements and the cohomology of polyhedral products
  • Torus actions, combinatorial topology, and homological algebra
  • Cellular cochain algebras and torus actions
  • Toric Topology


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