{"paper":{"title":"A heat trace anomaly on polygons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.DG","authors_text":"Julie Rowlett, Rafe Mazzeo","submitted_at":"2008-12-30T21:48:22Z","abstract_excerpt":"Let $\\Omega_0$ be a polygon in $\\RR^2$, or more generally a compact surface with piecewise smooth boundary and corners. Suppose that $\\Omega_\\e$ is a family of surfaces with $\\calC^\\infty$ boundary which converges to $\\Omega_0$ smoothly away from the corners, and in a precise way at the vertices to be described in the paper. Fedosov \\cite{Fe}, Kac \\cite{K} and McKean-Singer \\cite{MS} recognized that certain heat trace coefficients, in particular the coefficient of $t^0$, are not continuous as $\\e \\searrow 0$. We describe this anomaly using renormalized heat invariants of an auxiliary smooth do"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0019","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}