| Résume | The DR class/cycle is a Chow class which describes the locus where a vector bundle on a family of curves C/S is fiberwise trivial. It has applications to integrable systems and compactifications of abelian differentials. In 2001, Eliashberg asked for a formula for the DR cycle. Twenty years later, Pixton's formula for the DR class was finally proven. In addition to Pixton's formula, the DR cycle satisfies a GL-invariance property and product formula. We investigate the DR class in K theory, proving the GL-invariance and product formulas and the first steps towards a Pixton formula in K theory, following the approach of Chiodo-Holmes. |
