3 papers
math.AT2024
Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8)
Eiolf Kaspersen, Gereon Quick
By constructing concrete complex-oriented maps we show that the eight-fold of the generator of the third integral cohomology of the spin groups Spin(7) and Spin(8) is in the image…
math.AT2024
A note on the Thom morphism for the classifying space of certain Lie groups and gauge groups
Eiolf Kaspersen, Gereon Quick
We give a complete description of which non-torsion generators are not in the image of the Thom morphism from complex cobordism to integral cohomology for the classifying space of…
math.AT2023
On the cokernel of the Thom morphism for compact Lie groups
Eiolf Kaspersen, Gereon Quick
We give a complete description of the potential failure of the surjectivity of the Thom morphism from complex cobordism to integral cohomology for compact Lie groups via a detailed…