Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Documenta Mathematica"

Viser treff 1-9 av 9

    • 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 ...

    • Cluster equivalence and graded derived equivalence 

      Amiot, Claire; Oppermann, Steffen (Peer reviewed; Journal article, 2014)
      In this paper we introduce a new approach for organizing algebras of global dimension at most 2. We introduce the notion of cluster equivalence for these algebras, based on whether their generalized cluster categories are ...

    • Drinfeld centers for bicategories 

      Meir, Ehud; Szymik, Markus (Journal article; Peer reviewed, 2015)
      We generalize Drinfeld’s notion of the center of a tensor category to bicategories. In this generality, we present a spectral sequence to compute the basic invariants of Drinfeld centers: the abelian monoid of isomorphism ...

    • Enrichment and Representability for Triangulated Categories 

      Steen, Johan; Stevenson, Greg (Journal article; Peer reviewed, 2017)
      Given a fixed tensor triangulated category S we consider triangulated categories T together with an S-enrichment which is compatible with the triangulated structure of T. It is shown that, in this setting, an enriched ...

    • 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 ...

    • Matui’s AH Conjecture for Graph Groupoids 

      Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Peer reviewed; Journal article, 2021)
      We prove that Matui’s AH conjecture holds for graph groupoids of infinite graphs. This is a conjecture which relates the topological full group of an ample groupoid with the homology of the groupoid. Our main result ...

    • Modules of Constant Jordan Type over Quantum Complete Intersections 

      Bergh, Petter Andreas; Erdmann, Karin; Jorgensen, David A. (Peer reviewed; Journal article, 2020)
      We initiate the study of modules of constant Jordan type for quantum complete intersections, and prove a range of basic properties. We then show that for these algebras, constant Jordan type is an invariant of Auslander-Reiten ...

    • Recovering a Variable Exponent 

      Brander, Tommi; Siltakoski, Jarkko (Journal article; Peer reviewed, 2021)

    • Relations between infinitesimal non-commutative cumulants 

      Ebrahimi-Fard, Kurusch; de Jesus Celestino Rodr, Adrian; Perales Anaya, Daniel (Journal article; Peer reviewed, 2021)
      Boolean, free and monotone cumulants as well as relations among them, have proven to be important in the study of non-commutative probability theory. Quite notably, Boolean cumulants were successfully used to study free ...