• Corpus ID: 119674347

Pontryagin algebras of some moment-angle-complexes

  title={Pontryagin algebras of some moment-angle-complexes},
  author={Yakov Veryovkin},
  journal={arXiv: Algebraic Topology},
  • Yakov Veryovkin
  • Published 1 December 2015
  • Mathematics
  • arXiv: Algebraic Topology
We consider the problem of describing the Pontryagin algebra (loop homology) of moment-angle complexes and manifolds. The moment-angle complex Z_K is a cell complex built of products of polydiscs and tori parametrised by simplices in a finite simplicial complex K. It has a natural torus action and plays an important role in toric topology. In the case when K is a triangulation of a sphere, Z_K is a topological manifold, which has interesting geometric structures. Generators of the Pontryagin… 

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