{
  "id": "1406.4236",
  "version": "v1",
  "published": "2014-06-17T04:50:08.000Z",
  "updated": "2014-06-17T04:50:08.000Z",
  "title": "G-monopole invariants on some connected sums of 4-manifolds",
  "authors": [
    "Chanyoung Sung"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1108.3875",
  "categories": [
    "math.GT"
  ],
  "abstract": "On a smooth closed oriented $4$-manifold $M$ with a smooth action of a finite group $G$ on a Spin$^c$ structure, $G$-monopole invariant is defined by \"counting\" $G$-invariant solutions of Seiberg-Witten equations for any $G$-invariant Riemannian metric on $M$. We compute $G$-monopole invariants on some $G$-manifolds. For example, the connected sum of $k$ copies of a 4-manifold with nontrivial mod 2 Seiberg-Witten invariant has nonzero $\\Bbb Z_k$-monopole invariant mod 2, where the $\\Bbb Z_k$-action is given by cyclic permutations of $k$ summands.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-17T04:50:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R57",
      "57M60"
    ],
    "keywords": [
      "connected sum",
      "g-monopole invariants",
      "monopole invariant mod",
      "invariant riemannian metric",
      "seiberg-witten invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.4236S"
    }
  }
}