3 citations · 9 across the 5 of their papers we have counts for
5 papers
Strict Deformation Quantisation of the G-connections via Lie Groupoid
Alan Lai
Motivated by the compactification process of the space of connections in loop quantum gravity literature. A description of the space of G-connections using the tangent groupoid is…
Quantizing G-connections via the tangent groupoid
Alan Lai
A description of the space of G-connections using the tangent groupoid is given. As the tangent groupoid parameter is away from zero, the G-connections act as convolution operators…
Dirac spectrum and spectral action of SU(3)
Alan Lai, Kevin Teh
We compute the Dirac spectrum of SU(3) for a one parameter family of Dirac operators, including the Levi-Civita, cubic, and trivial Dirac operators. We then proceed to compute the…
The JLO Character for The Noncommutative Space of Connections of Aastrup-Grimstrup-Nest
Alan Lai
In attempts to combine non-commutative geometry and quantum gravity, Aastrup-Grimstrup-Nest construct a semi-finite spectral triple, modeling the space of G-connections for G=U(1)…
On Type II noncommutative geometry and the JLO character
Alan Lai
The Jaffe-Lesniewski-Osterwalder (JLO) character is a homomorphism from K-homology to entire cyclic cohomology. This paper extends the domain of the JLO character to include Type I…