Blar i NTNU Open på forfatter "Haus, Knut Bjarte"
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Differentiable Structures on Spheres and the Kervaire Invariant
Haus, Knut Bjarte (Master thesis, 2017)We follow Kervaire Milnor in defining and studying the group G of smooth structures on the sphere S^n. Surgery theory is developed and applied to study the subgroup bP^(n+1) of G. The Pontryagin construction induces a ... -
Geometric Hodge filtered complex cobordism
Haus, Knut Bjarte (Doctoral theses at NTNU;2022:238, Doctoral thesis, 2022)We define geometric Hodge filtered complex cobordism groups MUn(p)(X) for complex manifolds X. Refining the Pontryagin–Thom construction, we give a natural isomorphism MUn(p)(X) ƒ MUnD (p)(X), where MUnD(p)(X) are the Hodge ... -
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 ...