Torus actions, combinatorial topology, and homological algebra

@inproceedings{Buchstaber2000TorusAC,
  title={Torus actions, combinatorial topology, and homological algebra},
  author={Victor Matveevich Buchstaber and Taras E. Panov},
  year={2000}
}
This paper is a survey of new results and open problems connected with fundamental combinatorial concepts, including polytopes, simplicial complexes, cubical complexes, and arrangements of subspaces. Attention is concentrated on simplicial and cubical subdivisions of manifolds, and especially on spheres. Important constructions are described that enable one to study these combinatorial objects by using commutative and homological algebra. The proposed approach to combinatorial problems is based… CONTINUE READING

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