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math.AT2024
4-torsion classes in the integral cohomology of oriented Grassmannians
Ákos K. Matszangosz, Matthias Wendt
We investigate the existence of 4-torsion in the integral cohomology of oriented Grassmannians. We prove a general criterion for the appearance of 4-torsion classes based on (twist…
math.AT2023
The mod 2 cohomology rings of oriented Grassmannians via Koszul complexes
Ákos K. Matszangosz, Matthias Wendt
We study the structure of mod 2 cohomology rings of oriented Grassmannians of oriented -planes in . Our main focus is on the struc…