Suvrajit Bhattacharjee
Crystallization and $K$-theoretical aspects of the quantum twistor bundle
n this talk, I will report on an ongoing work with Sophie Emma Zegers. I will focus on the $K$-theoretical aspects of the quantum twistor bundle, which is an example of a quantum fiber bundle with a quantum homogeneous space as fibers, as introduced by Brzeziński and Szymański. In a recent work, Zegers describes the $K$-theory group of the total space of the bundle and conjectures a relation amongst the $K$-theory (and $K$-homology) groups of the fiber, the total space and the base of the quantum twistor bundle. I will describe this conjecture and how, using tools from the recently introduced notion of crystallization by Matassa-Yuncken and Laca-Neshveyev-Yamashita, we are able to settle this conjecture affirmatively.
