Determinants on lens spaces and cyclotomic units
J.S.Dowker
TL;DR
This paper computes explicit formulas for Laplacian determinants on lens spaces, linking spectral geometry with cyclotomic units, especially for odd prime cases, advancing understanding of geometric invariants in these spaces.
Contribution
It provides closed-form expressions for Laplacian determinants on lens spaces, connecting spectral invariants with cyclotomic units, including all odd prime cases.
Findings
Explicit formulas for determinants on lens spaces.
Connection between spectral invariants and cyclotomic units.
Results include all odd prime lens spaces.
Abstract
The Laplacian functional determinants for conformal scalars and coexact one-forms are evaluated in closed form on inhomogeneous lens spaces of certain orders, including all odd primes when the essential part of the expression is given, formally as a cyclotomic unit
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