Blar i Publikasjoner fra CRIStin - NTNU på forfatter "Quick, Gereon"
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An Abel-Jacobi invariant for cobordant cycles
Quick, Gereon (Journal article; Peer reviewed, 2016)We discuss an Abel-Jacobi invariant for algebraic cobordism cycles whose image in topological cobordism vanishes. The existence of this invariant follows by abstract arguments from the construction of Hodge filtered ... -
Examples of non-algebraic classes in the Brown-Peterson tower
Quick, Gereon (Journal article; Peer reviewed, 2018)For every n≥0 , we construct classes in the Brown–Peterson cohomology BP⟨n⟩ of smooth projective complex algebraic varieties which are not in the image of the cycle map from the corresponding motivic Brown–Peterson ... -
Formality and strong Massey vanishing for real projective groups
Quick, Gereon (Peer reviewed; Journal article, 2023)This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck’s original pillars [1], the present ... -
Geometric Hodge filtered complex cobordism
Haus, Knut Bjarte; Quick, Gereon (Peer reviewed; Journal article, 2023)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 coefficients. Using a refinement of the Pontryagin–Thom ... -
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
Haus, Knut Bjarte; Quick, Gereon (Journal article; Peer reviewed, 2024)We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significantly improves previous results on such ... -
A note on Real line bundles with connection and Real smooth Deligne cohomology
Flydal, Peter Marius; Quick, Gereon; Svanes, Eirik Eik (Peer reviewed; Journal article, 2024)We define a Real version of smooth Deligne cohomology for manifolds with involution which interpolates between equivariant sheaf cohomology and smooth imaginary-valued forms. Our main result is a classification of Real ... -
Profinite and discrete G-spectra and iterated homotopy fixed points
Davis, Daniel G.; Quick, Gereon (Journal article; Peer reviewed, 2016)For a profinite group G, let (−)hG, (−)hdG and (−)h′G denote continuous homotopy fixed points for profinite G–spectra, discrete G–spectra and continuous G–spectra (coming from towers of discrete G–spectra), respectively. ... -
Representability of the local motivic Brouwer degree
Quick, Gereon; Strand, Therese; Wilson, Glen Matthew (Peer reviewed; Journal article, 2022)We study which quadratic forms are representable as the local degree of a map f : An → An with an isolated zero at 0, following the work of Kass and Wickelgren who established the connection to the quadratic form of Eisenbud, ... -
Unstable splittings in Hodge filtered Brown-Peterson cohomology
Quick, Gereon (Journal article, 2018)We construct Hodge filtered function spaces associated to infinite loop spaces. For Brown–Peterson cohomology, we show that the corresponding Hodge filtered spaces satisfy an analog of Wilson’s unstable splitting. As a ...