• Hochschild cohomology of some quantum complete intersections 

      Erdmann, Karin; Hellstrøm-Finnsen, Magnus (Journal article; Peer reviewed, 2018)
      We compute the Hochschild cohomology ring of the algebras A = kX, Y /(Xa,XY − qY X, Y a) over a field k where a ≥ 2 and where q ∈ k is a primitive ath root of unity. We find the dimension of HHn(A) and show that it is ...
    • Hochschild cohomology, monoidal categories and quantum complete intersections 

      Hellstrøm-Finnsen, Magnus (Doctoral theses at NTNU;2018:6, Doctoral thesis, 2018)
    • Hochschild homology and trivial extension algebras 

      Bergh, Petter Andreas; Madsen, Dag Oskar (Journal article; Peer reviewed, 2017)
      We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite.
    • Holder estimates of the $\bar\partial$-equation 

      Reiersen, Mathias (Master thesis, 2022)
      Det å løse og estimere Cauchy-Riemann-ligningene ∂u = f har vært grunnleggende i kompleks analyse siden feltets begynnelsen og er sentralt i mange applikasjoner. I denne oppgaven vil vi løse og estimere ∂-ligningen i to ...
    • Homogeneous Plurisubharmonic Polynomials in Higher Dimensions 

      Simon, Lars (Peer reviewed; Journal article, 2021)
      We prove several results on homogeneous plurisubharmonic polynomials on Cn, n∈Z≥2. Said results are relevant to the problem of constructing local bumpings at boundary points of pseudoconvex domains of finite D’Angelo 1-type ...
    • Homological invariants of the arrow removal operation 

      Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind (Journal article, 2022)
      In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operation for a finite dimensional algebra.
    • Homologies on Path Complexes 

      Lysne, Sigve (Bachelor thesis, 2021)
      Et veikompleks generaliserer både simplisialkomplekser og rettede grafer. Vi bruker etablerte definisjoner av veihomologier for å få en homolgiteori på rettede grafer. Vi konstruerer så eksempler på veikomplekser som har ...
    • The homology of the groupoid of the self-similar dihedral group 

      Ortega Esparza, Eduardo; Sanchez, Alvaro (Peer reviewed; Journal article, 2022)
      We compute the K -theory of the C∗ -algebra associated to the self-similar infinite dihedral group, and the homology of its associated étale groupoid. We see that the rational homology differs from the K -theory, strongly ...
    • Homology Theory from the Geometric Viewpoint 

      Brautaset, Olav (Master thesis, 2011)
      Given a multiplicative cohomology theory represented by a spectrum, E,we define its associated geometric homology theory by means of bordism. Restrictedto CW pairs, we show how the geometric homology theory is naturally ...
    • Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory 

      Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2019)
      We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius category, whose induced stable category ...
    • Homotopy coherent centers versus centers of homotopy categories 

      Szymik, Markus (Journal article, 2018)
      Centers of categories capture the natural operations on their objects. Homotopy coherent centers are introduced here as an extension of this notion to categories with an associated homotopy theory. These centers can also ...
    • Homotopy-coherent algebra via Segal conditions 

      Chu, Hongyi; Haugseng, Rune (Peer reviewed; Journal article, 2021)
      Many homotopy-coherent algebraic structures can be described by Segal-type limit conditions determined by an “algebraic pattern”, by which we mean an ∞-category equipped with a factorization system and a collection of ...
    • Hopf-algebraic Deformations of Products and Wick Polynomials 

      Ebrahimi-Fard, Kurusch; Patras, Frederic; Tapia, Nikolas; Zambotti, Lorenzo (Journal article; Peer reviewed, 2018)
      We present an approach to cumulant–moment relations and Wick polynomials based on extensive use of convolution products of linear functionals on a coalgebra. This allows, in particular, to understand the construction of ...
    • Hospitals' Discharge Tendency and Risk of Death - An Analysis of 60,000 Norwegian Hip Fracture Patients 

      Nilsen, Sara Marie; Bjørngaard, Johan Håkon; Carlsen, Fredrik; Anthun, Kjartan Sarheim; Johnsen, Lars Gunnar; Vatten, Lars Johan; Asheim, Andreas (Peer reviewed; Journal article, 2020)
      Purpose: A reduction in the length of hospital stay may threaten patient safety. This study aimed to estimate the effect of organizational pressure to discharge on 60-day mortality among hip fracture patients. Patients ...
    • How do busy hospital circumstances affect mortality and readmission within 60 days: A cohort study of 680 000 acute admissions in Norway 

      Nilsen, Sara Marie; Asheim, Andreas; Carlsen, Fredrik; Anthun, Kjartan Sarheim; Vatten, Lars Johan; Aam, Stina; Davies, Neil Martin; Bjørngaard, Johan Håkon (Peer reviewed; Journal article, 2022)
      Objective To study mortality and readmissions for older patients admitted during more and less busy hospital circumstances. Design Cohort study where we identified patients that were admitted to the same hospital, ...
    • How not to prove your election outcome 

      Haines, Thomas Edmund; Lewis, Sarah Jamie; Teague, Vanessa (Peer reviewed; Journal article, 2020)
      The Scytl/SwissPost e-voting solution was intended to provide complete verifiability for Swiss government elections. We show failures in both individual verifiability and universal verifiability (as defined in Swiss Federal ...
    • The Hunter-Saxton equation with noise 

      Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2021)
      In this paper we develop an existence theory for the Cauchy problem to the stochastic Hunter–Saxton equation (1.1), and prove several properties of the blow-up of its solutions. An important part of the paper is the ...
    • Hurtig simulering av ultralydavbildning av flater i 3D: Ved hjelp av Fouriertransformen 

      Galtrud, Bernt Garten (Master thesis, 2009)
      Denne rapporten presenter en ny og egenutviklet metode for å simulere ultralydavbildning av flater i rommet. Metoden bygger på, og er laget med tanke på bruk sammen med, ultralydsimulatoren FUSK som er utviklet av Torbjørn ...
    • "Hva gjør jeg med ulikhetstegnet?": En kvalitativ studie av 1T-elevers beskrivelser og løsning av lineære ulikheter 

      Espeland, Thea Lien (Master thesis, 2012)
      Formålet med denne studien er å få dypere innsikt i elevers løsning og resonnering i forbindelse med lineære ulikheter. Spesielt undersøkes elevers beskrivelser av ulikhetsbegrepet, en ulikhets løsning og elevers grafiske ...
    • Hvilke forestillinger kan elever ha om forståelse i matematikk? 

      Berglie, Ingebjørg (Master thesis, 2009)
      Målet med studien er å få innsikt i hvilke forestillinger elever kan ha om forståelse i matematikk. I studien utvikles det et nytt analyseredskap for å beskrive elevers forestillinger om forståelse i matematikk i detalj. ...