Viser treff 1-11 av 11

• #### 2-Braids and a categorification of the Kauffman bracket polynomial ﻿

(Master thesis, 2015)
Abstract.
• #### A classifying space for principal G-bundles with connection, in the category of simplicial presheaves ﻿

(Master thesis, 2019)
I denne masteroppgaven studerer vi hoved-G-bunter over glatte mangfoldigheter med kobling, og hvordan man kan lage universelle objekter for å klassifisere dem, tilsvarende Grassmannians for vektorbunter. Konstruksjonene ...
• #### An Abel-Jacobi invariant for cobordant cycles ﻿

(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 ...
• #### 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 ...
• #### Examples of non-algebraic classes in the Brown-Peterson tower ﻿

(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 ...
• #### Fibrasjoner av Kategorier ﻿

(Master thesis, 2019)
Det finnes en {\em kanonisk} modellstruktur på $\Cat$ som bruker ekvivalenser av kategorier, og vi forsøker å forstå fibrasjonene involvert. Første kapittel gir en detaljert utledning av at yonedaimbeddingen \$\y : \C \to ...
• #### Profinite and discrete G-spectra and iterated homotopy fixed points ﻿

(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. ...
• #### 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, ...
• #### Stability and Complexity in Multi-Parameter Persistence ﻿

(Doctoral theses at NTNU;2020:185, Doctoral thesis, 2020)
• #### Topological Data Analysis with Applications to Neuroscience ﻿

(Doctoral theses at NTNU;2020:20, Doctoral thesis, 2020)
• #### Unstable splittings in Hodge filtered Brown-Peterson cohomology ﻿

(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 ...