Details
| Original language | English |
|---|---|
| Pages (from-to) | 571-598 |
| Number of pages | 28 |
| Journal | Michigan mathematical journal |
| Volume | 74 |
| Issue number | 3 |
| Publication status | Published - Jul 2024 |
Abstract
We examine the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on p-forms by computing the heat invariants associated with the p-spectrum. We show that the heat invariants of the 0-spectrum together with those of the 1-spectrum for the corresponding Hodge Laplacians are sufficient to distinguish orbifolds with singularities from manifolds as long as the singular sets have codimension ≤ 3. This is enough to distinguish orbifolds from manifolds for dimension ≤ 3.
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In: Michigan mathematical journal, Vol. 74, No. 3, 07.2024, p. 571-598.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Do the Hodge Spectra Distinguish Orbifolds from Manifolds?
T2 - Part 1
AU - Gittins, Katie
AU - Gordon, Carolyn
AU - Khalile, Magda
AU - Solis, Ingrid Membrillo
AU - Sandoval, Mary
AU - Stanhope, Elizabeth
N1 - Publisher Copyright: © 2024 University of Michigan. All rights reserved.
PY - 2024/7
Y1 - 2024/7
N2 - We examine the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on p-forms by computing the heat invariants associated with the p-spectrum. We show that the heat invariants of the 0-spectrum together with those of the 1-spectrum for the corresponding Hodge Laplacians are sufficient to distinguish orbifolds with singularities from manifolds as long as the singular sets have codimension ≤ 3. This is enough to distinguish orbifolds from manifolds for dimension ≤ 3.
AB - We examine the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on p-forms by computing the heat invariants associated with the p-spectrum. We show that the heat invariants of the 0-spectrum together with those of the 1-spectrum for the corresponding Hodge Laplacians are sufficient to distinguish orbifolds with singularities from manifolds as long as the singular sets have codimension ≤ 3. This is enough to distinguish orbifolds from manifolds for dimension ≤ 3.
UR - http://www.scopus.com/inward/record.url?scp=85197555909&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2106.07882
DO - 10.48550/arXiv.2106.07882
M3 - Article
AN - SCOPUS:85197555909
VL - 74
SP - 571
EP - 598
JO - Michigan mathematical journal
JF - Michigan mathematical journal
SN - 0026-2285
IS - 3
ER -