• Corpus ID: 16291703

The homology of the little disks operad

  title={The homology of the little disks operad},
  author={Dev P. Sinha},
  journal={arXiv: Algebraic Topology},
  • Dev P. Sinha
  • Published 6 October 2006
  • Mathematics
  • arXiv: Algebraic Topology
In this expository paper we give an elementary, hands-on computation of the homology of the little disks operad, showing that the homology of a $d-fold loop space is a Poisson algebra. One aim is to familiarize a greater audience with Euclidean configuration spaces, using tools accessible to second-year graduate students. We also give a brief introduction to the theory of operads. New results include identifying the pairing between homology and cohomology of these spaces as a pairing of graphs… 

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