9 citations · 19 across the 25 of their papers we have counts for
13 papers · 1 filter
Non-realizability of a triple Massey product for the algebra
Eivind Xu Djurhuus, Gereon Quick
We show that an often used example of a cohomology algebra with non-vanishing triple Massey product is intrinsically A_3-formal and therefore, in fact, cannot be realized as the co…
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…
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…
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…
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
Knut Bjarte Haus, Gereon Quick
We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significant…
Geometric Hodge filtered complex cobordism
Knut Bjarte Haus, Gereon Quick
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficient…