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Macro shifts and micro drifts: The Coleman boat and Adjoint Functors
, 2016 Ochiai Hitoshi
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Symplectic Geometry of Teichmüller Spaces for Surfaces with Ideal Boundary. [PDF]
Commun Math PhysAlekseev A, Meinrenken E.
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Adjunctions and Adjoint Functor Theorems
, 2021In this section, we will discuss adjunctions between ∞-categories. We will define them in the language of fibrations and show that they may equivalently be described by choosing a binatural transformation of bivariant mapping-space functors. We will give several sufficient criteria for a fixed functor \(f \colon \mathscr {C} \to \mathscr {D}\) to admit
Markus Land
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Adjoint Functors on the Representation Category of OI
Algebras and Representation Theory, 2021In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving injections.
Wee Liang Gan, Liping Li
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Adjoint Functors and Representation Dimensions
Acta Mathematica Sinica, English Series, 2006Let \(\widehat{\mathcal{C}}\) denote the category of coherent functors on a category \(\mathcal{C}\). Suppose that \(\mathcal{C}\) and \(\mathcal{D}\) are additive \(k\)-categories and that \(F,G\) is pair of adjoint functors between them. The author obtains comparisons of \(\text{ gl.dim}(\widehat{\mathcal{C}}) \) with \(\text{ gl.dim}(\widehat ...
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On Fundamental Constructions and Adjoint Functors
Canadian Mathematical Bulletin, 1966A fundamental construction of a category ζ((2), Appendice) is a triple (S, p, k), where S is a functor from ζ to itself and 2 where p:S2→S and k:1ζ→S are natural transformations such ...
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