{"paper":{"title":"A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J.Tolksdorf, T.Ackermann","submitted_at":"1995-03-23T06:42:34Z","abstract_excerpt":"We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator $\\widetilde{D}$\\ on an even-dimensional spin manifold associated to a metric connection $\\widetilde{\\nabla}$. We use this formula to compute the subleading term $\\Phi_1(x,x, \\widetilde{D}^2)$\\ of the heat-kernel expansion of $\\widetilde{D}^2$. The trace of this term plays a key-r$\\hat {\\petit\\rm o}$le in the definition of a (euclidian) gravity action in the context of non-commutative geometry. We show that this gravity action can be interpreted as defining a modified euclidia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9503152","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9503152/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}