A Dolbeault-Dirac Spectral Triple for the $B_2$-Irreducible Quantum Flag Manifold
Quantum Algebra
2021-09-22 v1
Abstract
The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for the -irreducible quantum flag manifold. The spectrum and the multiplicities of the eigenvalues of the Dolbeault-Dirac operator are computed. It is shown that this construction yields an equivariant, even, -summable spectral triple.
Keywords
Cite
@article{arxiv.2109.09885,
title = {A Dolbeault-Dirac Spectral Triple for the $B_2$-Irreducible Quantum Flag Manifold},
author = {Fredy Díaz García and Réamonn Ó Buachalla and Elmar Wagner},
journal= {arXiv preprint arXiv:2109.09885},
year = {2021}
}
Comments
45 pages