Spectral Metric and Einstein Functionals for Hodge-Dirac operator

Autor:	Dąbrowski, Ludwik, Zalecki, Paweł, Sitarz, Andrzej
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Quantum Algebra Mathematics - Spectral Theory 58J50 46L87 58B34
Zdroj:	J. Noncommut. Geom. (2024)
Druh dokumentu:	Working Paper
DOI:	10.4171/JNCG/573
Popis:	We examine the metric and Einstein bilinear functionals of differential forms introduced in Adv.Math.,Vol.427,(2023)1091286, for Hodge-Dirac operator $d+\delta$ on an oriented even-dimensional Riemannian manifold. We show that they reproduce these functionals for the canonical Dirac operator on a spin manifold up to a numerical factor. Furthermore, we demonstrate that the associated spectral triple is spectrally closed, which implies that it is torsion-free. Comment: Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.14877 Zobrazit plný text záznamu View this record from Arxiv