Positive line modules over the irreducible quantum flag manifolds
Noncommutative Kähler structures were recently introduced as a framework for studying
noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently …
noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently …
[PDF][PDF] Dolbeault–Dirac Fredholm operators on quantum homogeneous spaces
B Das, RÓ Buachalla, P Somberg - arXiv preprint math.QA …, 2022 - researchgate.net
Noncommutative Hermitian structures were recently introduced in [69] as an algebraic
framework for studying noncommutative complex geometry on quantum homogeneous …
framework for studying noncommutative complex geometry on quantum homogeneous …
A Dolbeault-Dirac spectral triple for quantum projective space
B Das, RÓ Buachalla, P Somberg - Documenta Mathematica, 2020 - ems.press
The notion of a Kähler structure for a differential calculus was recently introduced by the
second author as a framework in which to study the noncommutative geometry of the …
second author as a framework in which to study the noncommutative geometry of the …
Spectral gaps for twisted Dolbeault-Dirac operators over the irreducible quantum flag manifolds
B Das, RÓ Buachalla, P Somberg - arXiv preprint arXiv:2206.10719, 2022 - arxiv.org
We show that tensoring the Laplace and Dolbeault-Dirac operators of a K\" ahler structure
(with closed integral) by a negative Hermitian holomorphic module, produces operators with …
(with closed integral) by a negative Hermitian holomorphic module, produces operators with …
Positive line bundles over the irreducible quantum flag manifolds
Noncommutative Kähler structures were recently introduced by the third author as a
framework for studying noncommutative Kähler geometry on quantum homogeneous …
framework for studying noncommutative Kähler geometry on quantum homogeneous …