Results 51 to 60 of about 18,893 (159)
Structure of the Kuranishi spaces of pairs of Kähler manifolds and polystable Higgs bundles
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3581-3600, December 2024.Abstract Let X$X$ be a compact Kähler manifold and (E,∂¯E,θ)$(E,\overline{\partial }_E,\theta)$ be a Higgs bundle over it. We study the structure of the Kuranishi space for the pair (X,E,θ)$(X, E,\theta)$ when the Higgs bundle admits a harmonic metric or equivalently when the Higgs bundle is polystable and the Chern classes are 0.
Takashi Ono
wiley +1 more source
Reflecting perfection for finite‐dimensional differential graded algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3689-3707, December 2024.Abstract We generalise two facts about finite‐dimensional algebras to finite‐dimensional differential graded algebras. The first is the Nakayama lemma and the second is that the simples can detect finite projective dimension. We prove two dual versions which relate to Gorenstein differential graded algebras and Koszul duality, respectively.
Isambard Goodbody
wiley +1 more source
Adjunctions and Braided Objects [PDF]
arXiv, 2013 In this paper we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relations. In particular we construct a braided primitive functor and its left adjoint, the braided tensor bialgebra functor, from the category of braided objects to the one of ...
arxiv
, 2011 There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.
openaire +2 more sources
Adjoints to a Fourier–Mukai functor
Advances in Mathematics, 2017 Given a Fourier–Mukai functor Φ in the general setting of singular schemes, under various hypotheses we provide both left and a right adjoints to Φ, and also give explicit formulas for them. These formulas are simple and natural, and recover the usual formulas when the Fourier–Mukai kernel is a perfect complex. This extends previous work of [1], [12], [
openaire +2 more sources
An adjunction hypothesis between qualia and reports. [PDF]
Front Psychol, 2022 Tsuchiya N, Saigo H, Phillips S.
europepmc +1 more source
Properties of dense and relative adjoint functors
Journal of Algebra, 1968 In this paper we investigate some properties of dense1 and relative adjoint functors which we will use extensively in [I]. However it seems that some of these properties are of interest in themselves. Therefore we prefer not to include them in [Z] but to present them separately.
Friedrich Ulmer, Friedrich Ulmer
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Perverse schobers and Orlov equivalences. [PDF]
Eur J Math, 2023 Koseki N, Ouchi G.
europepmc +1 more source
On properties of the Casselman-Jacquet functor [PDF]
arXiv, 2016 In this thesis, we study the Casselman-Jacquet functor. We discuss a new technical approach which makes the Casselman-Jacquet functor right adjoint to the Bernstein functor. We give an explanation, using D-modules, of the Bruhat filtration appearing on the module obtained by applying the Casselman-Jacquet functor to a principal series representation ...
arxiv