Work

Powers of the Dirac Operator on $S^1\times S^{n-1}$

Year: 2026

Type: preprint

Abstract: We give explicit formulas for the spectra of the intertwinors on the spinor bundle over $S^1 \times S^{n-1}$, $n$ even, with the standard Lorentzian metric $g=-g_{{}_{S^1}}+g_{{}_{S^{n-1}}}$. As a special case, we construct conformally covariant differential operators of all odd orders with the leading term a power of the Dirac operator.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.29316

Author: Hong, Doojin

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204930440

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