A finite spectral triple for the fuzzy torus is constructed whose Dirac spectrum is the q-integer analogue of the commutative flat torus spectrum, for all four spin structures.
On Spin Structures and Dirac Operators on the Noncommutative Torus
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that similarly as in the classical case the spectrum of the Dirac operator depends on the spin structure.
fields
math.QA 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Finite spectral triples for the fuzzy torus
A finite spectral triple for the fuzzy torus is constructed whose Dirac spectrum is the q-integer analogue of the commutative flat torus spectrum, for all four spin structures.