{
  "id": "2108.12763",
  "version": "v1",
  "published": "2021-08-29T07:13:36.000Z",
  "updated": "2021-08-29T07:13:36.000Z",
  "title": "Non-trivial extensions in equivariant cohomology with constant coefficients",
  "authors": [
    "Samik Basu",
    "Surojit Ghosh"
  ],
  "comment": "Comments are Welcome!",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper, we prove some computational results about equivariant cohomology over the cyclic group $C_{p^n}$ of prime power order. We show that there is an inductive formula when the dimension of the $C_p$-fixed points of the grading is large. Among other calculations, we also show the existence of non-trivial extensions when $n\\geq 3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-29T07:13:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N91"
    ],
    "keywords": [
      "equivariant cohomology",
      "non-trivial extensions",
      "constant coefficients",
      "prime power order",
      "computational results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}