Quantum Baecklund transformations and 2D TQFTs
Christian Korff (University of Glasgow)
Thursday 9th February, 2017 16:00-17:00 Maths 522
: I will discuss the Dirac quantisation of the Ablowitz-Ladik chain. For the infinite chain one can construct quantum analogues of Darboux matrices and Lax pairs. One obtains a set of functional equations describing the resulting Darboux transformations for the noncommutative quantum case which are analogues of the classical, commutative ones. In the case of periodic boundary conditions these Darboux transformations are linked to a family of 2D TQFTs.