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Cited by 945Advanced Differential Geometry ResearchGeometric Analysis and Curvature FlowsSpectral Theory in Mathematical Physics

R-Torsion and the Laplacian on Riemannian manifolds

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Ray, D.B., Singer, I.M.·1971·Advances in Mathematics
DOI 10.1016/0001-8708(71)90045-4
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Crossref · 10.1016/0001-8708(71)90045-4

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  • The path integral for the covariant first-order action (14) reduces to a ratio of determinants that has a topological interpretation as the analytic or Ray-Singer torsion.

    “The path integral for this action was first fully analyzed in two seminal papers by Witten [277, 279], who showed that it reduced to a ratio of determinants that has an elegant topological interpretation as the analytic or Ray-Singer torsion [230].”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [230]

Cited by

Sorted by citations

Authors
Ray, D. B., & Singer, I. M.
Affiliations
Massachusetts Institute of Technology (US)
Venue
Advances in Mathematics
Publisher
Elsevier BV
Published
1971-10
Volume
7
Issue
2
Pages
145-210
ISSN
0001-8708 (ISSN-L)
DOI
10.1016/0001-8708(71)90045-4
OpenAlex
W2074937619
Cited by
945
References
0
Citations by year
2026: 12 · 2025: 24 · 2024: 22 · 2023: 16 · 2022: 23 · 2021: 29 · 2020: 32 · 2019: 27 · 2018: 22 · 2017: 33 · 2016: 31 · 2015: 28 · 2014: 28 · 2013: 33 · 2012: 37
FWCI
1.00
Type
journal article
Language
en
Open access
Licence
Locations
Advances in Mathematics (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
  • Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
  • Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
Keywords
Riemannian manifolds, Laplacian, zeta function regularization, spectral zeta function, heat kernel, Dirac operator

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