{
  "id": "NCG-CYCLIC",
  "title": "Cyclic cohomology and noncommutative differential geometry",
  "language": "en",
  "licence": "CC0 1.0",
  "lessons": [
    {
      "id": "the-cyclic-category-and-cyclic-cohomology-as-ext",
      "title": "Cyclic cohomology: traces, differentials and symmetry",
      "source": "public/src/the-cyclic-category-and-cyclic-cohomology-as-ext.md",
      "reader": "public/reader/cyclic-cohomology.html",
      "source_sha256": "84ecfda2346c7adb310eaa65f0e23bfed2ede0fe744e0f37ddfe2dede265331e",
      "reader_sha256": "357d0aea86a8660637dc30a3aa4a9180d1a7842589a765933fddd2e6dc1e71c3"
    },
    {
      "id": "connections-and-curvature-for-c-star-dynamical-systems",
      "title": "Connections and curvature from symmetries of an algebra",
      "source": "public/src/connections-and-curvature-for-c-star-dynamical-systems.md",
      "reader": "public/reader/connections-and-curvature.html",
      "source_sha256": "20daf6161511a8088398dbb0ea04e1ace565fd2adbda0551ec61b09ed7514a7a",
      "reader_sha256": "114e35e31c1c925775aa3049e89093e753b4987cbe560b572305bdc5fc68dd1f"
    },
    {
      "id": "pseudodifferential-calculus-for-actions-of-rn",
      "title": "Frequency calculus for an action of Euclidean space",
      "source": "public/src/pseudodifferential-calculus-for-actions-of-rn.md",
      "reader": "public/reader/action-pseudodifferential-calculus.html",
      "source_sha256": "e088110a4d3ece2b86458649bdd33b5c781fb8524bfa2ba92e4b27e5b97bf847",
      "reader_sha256": "c3714b402d36bc4941a493cfb7a4d35b725b5738df27ebe8d171ef3ddc6af0fa"
    },
    {
      "id": "n-traces-on-banach-algebras",
      "title": "Cyclic forms that survive norm completion",
      "source": "public/src/n-traces-on-banach-algebras.md",
      "reader": "public/reader/n-traces.html",
      "source_sha256": "2a607cbf187bdd0a9e9cd250477be3ed07adf7c4da6b963a321e238b5148a66e",
      "reader_sha256": "99f59714068d65b5badb48b67674acd75e6645c2571c2064783915c9c07e2ddf"
    },
    {
      "id": "the-transverse-fundamental-class",
      "title": "A fundamental class for an action on a manifold",
      "source": "public/src/the-transverse-fundamental-class.md",
      "reader": "public/reader/transverse-fundamental-class.html",
      "source_sha256": "6e9e1ff3349bb37f831213a0511f0f56c3e7dc3576ee89845b811ae75c38be17",
      "reader_sha256": "40cdb6eace3075341e9a787df30a1cfb0d5368054a2e0c935ee019d57766691b"
    },
    {
      "id": "the-geometric-group-and-geometric-corollaries",
      "title": "Geometric cycles and the fate of a crossed-product unit",
      "source": "public/src/the-geometric-group-and-geometric-corollaries.md",
      "reader": "public/reader/geometric-cycles.html",
      "source_sha256": "52968168ff92a1b9e0a071d1969a2d8b1a01d373ba2407bf6834626e9a100055",
      "reader_sha256": "559e979bfd1a407f7642a5c3dc31224d065e888c3e43c3eb4aee8f7c9149b62e"
    },
    {
      "id": "gelfand-fuks-cohomology-and-the-godbillon-vey-invariant",
      "title": "A logarithmic Jacobian becomes a cyclic cocycle",
      "source": "public/src/gelfand-fuks-cohomology-and-the-godbillon-vey-invariant.md",
      "reader": "public/reader/godbillon-vey.html",
      "source_sha256": "7d163c0de4748d69e0e9adb5a79524df91c776449ea0c32760d7ca7d495d0ce6",
      "reader_sha256": "fc730254acb90c9339cac02d8732fcf234df8efd0fed3b5cdc6859c1003c83f4"
    }
  ],
  "solved_exercises": 110,
  "edition_status": "working course edition; further mathematical scope remains unfinished",
  "author": "GPT-6.1 Sol (OpenAI), Ultra",
  "self_checked": true,
  "whole_course_complete": false,
  "current_full_independent_ai_review": false,
  "human_review": false,
  "reading_url": "https://kokunoyumeto.github.io/open-math-courses/courses/NCG-CYCLIC/",
  "appendices": [
    {
      "id": "semifinite-trace-homology",
      "title": "Appendix C. Semifinite traces and homology",
      "source": "public/src/semifinite-trace-homology.md",
      "reader": "public/reader/semifinite-trace-homology.html",
      "source_sha256": "9ca25955707144d2eaf64da3863cf24f79f6d4f40fa73836180f57edaf3ecb3e",
      "reader_sha256": "6b88b7d6a905244351c2e88a1eb11ae0a0494efaf666618a8827e9b797bf3578"
    },
    {
      "id": "simplicial-geometric-character",
      "title": "Appendix A. Simplicial integration and the ordinary geometric Chern character",
      "source": "public/src/simplicial-geometric-character.md",
      "reader": "public/reader/simplicial-geometric-character.html",
      "source_sha256": "12ceb20a70312edaf4f22fca2e5fbc68f118d98730852cd25f50bfb5a343c113",
      "reader_sha256": "18bab9dbccae5f53d66ad316bb07ca568e8a250521ef9082cd5bf27fe3ba0fea"
    },
    {
      "id": "smooth-manifold-current-character",
      "title": "Appendix B. Smooth currents and the ordinary compact-support character",
      "source": "public/src/smooth-manifold-current-character.md",
      "reader": "public/reader/smooth-manifold-current-character.html",
      "source_sha256": "35e24c7fcdfbc9ce02813170a3535b02f6cd4168f4f3c0de1fa4118fb2344547",
      "reader_sha256": "9c687a14872f9a66e6ac8db00e2eee3d3cb22437c643b445a0d2094e773b6378"
    }
  ]
}