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Steenrod-Squares in differential cohomology

Jonas Lenthe (Freiburg)

Dienstag, 2. Juni 2020 16:15Uhr

In my master's thesis I tried to construct the Steenrod squaring operations in a differential cohomology theory. One construction method for singular cohomology is based on the graded commutativity of the cup product. For odd Squares this method can be imitated in the Cheeger-Simons-Model of differential cohomology and produces the same differential operations which were already given by D. Grady and H. Sati. It also gives another explanation why the even differential Squares cannot exist in general. If time permits, I can discuss an approach to some even Squares that makes use of Wu classes.