Home
File Metadata
q-alg_9701017.txt
Annotation: dorsal/arxiv

dorsal/arxiv

Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 0 | Source: arXiv Dataset IDs (Model)

Quantizing Poisson Manifolds

Authors	Alexander A. Voronov
Categories	q-alg math.QA
ArXiv ID	q-alg/9701017
URL	https://arxiv.org/abs/q-alg/9701017

Abstract

This paper extends Kontsevich's ideas on quantizing Poisson manifolds. A new differential is added to the Hodge decomposition of the Hochschild complex, so that it becomes a bicomplex, even more similar to the classical Hodge theory for complex manifolds.

{
  "annotation_id": "dccd61ee-3a62-4f3c-ae7e-bf58708c97ec",
  "date_created": "2026-03-02T18:01:28.355000Z",
  "date_modified": "2026-03-02T18:01:28.355000Z",
  "file_hash": "9aefe99cee40b33a997ad76c1f9d81b7495c17763e3bce40535ef621cf632d53",
  "private": false,
  "record": {
    "abstract": "This paper extends Kontsevich\u0027s ideas on quantizing Poisson manifolds. A new\ndifferential is added to the Hodge decomposition of the Hochschild complex, so\nthat it becomes a bicomplex, even more similar to the classical Hodge theory\nfor complex manifolds.",
    "arxiv_id": "q-alg/9701017",
    "authors": [
      "Alexander A. Voronov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quantizing Poisson Manifolds",
    "url": "https://arxiv.org/abs/q-alg/9701017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c64ec35-558d-4013-8c2a-49260e8c8e21",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}