Refined Enumerative Geometry

Explore refined enumerative geometry in this comprehensive lecture series by Marc Levine. Delve into Milnor-Witt sheaves, motivic homotopy theory, and Chow-Witt groups. Examine Euler classes, characteristics, and Riemann-Hurwicz formulas. Investigate virtual fundamental classes in motivic homotopy theory and their applications. Study characteristic classes in Witt-cohomology, including Borel and Pontryagin classes. Gain insights into the special linear version of the projective bundle theorem and the reduction of SL2-bundles to NT-bundles.