E. Lira-Torres

activity

20202022

most citedGeometric Dirac operator on the fuzzy sphere

7 citations · 11 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2022

Geometric Dirac operator on noncommutative torus and $M_{2} (C)$

E. Lira-Torres, S. Majid

We solve for quantum-geometrically realised spectral triples or `Dirac operators' on the noncommutative torus $C_{θ} [T^{2}]$ and on the algebra $M_{2} (C)$ of $2 \times 2$ matric…

math.QA2021★ 7 cited

Geometric Dirac operator on the fuzzy sphere

Evelyn Lira-Torres, Shahn Majid

We construct a Connes spectral triple or `Dirac operator' on the non-reduced fuzzy sphere $C_{λ} [S^{2}]$ as realised using quantum Riemannian geometry with a central quantum metric $g$ …

math.QA2020★ 4 cited

Quantum Gravity and Riemannian Geometry on the Fuzzy Sphere

Evelyn Lira Torres, Shahn Majid

We study the quantum geometry of the fuzzy sphere defined as the angular momentum algebra $[x_{i}, x_{j}] = 2  λ_{p} ε_{ij k} x_{k}$ modulo setting $\sum_{i} x_{i}^{2}$ to a constant, using a rec…

Geometric Dirac operator on noncommutative torus and M2​(C)

Geometric Dirac operator on the fuzzy sphere

Quantum Gravity and Riemannian Geometry on the Fuzzy Sphere

Geometric Dirac operator on noncommutative torus and $M_{2} (C)$