Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på emneord "Matematiske fag, Topologi"
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Differentiable Structures on Spheres and the Kervaire Invariant
(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 ... -
The slice spectral sequence for KR-theory
(Master thesis, 2018)The slice filtration for equivariant spectra, and the accompanying slice spectral sequence, was developed by Hill, Hopkins, and Ravenel in their celebrated solution of the Kervaire invariant one problem. Using Hill, Hopkins, ...