Results 61 to 70 of about 19,289 (184)

Adjunctions Between Hom and Tensor as Endofunctors of (bi-)Module Category of Comodule Algebras Over a Quasi-Hopf Algebra

پژوهش‌های ریاضی, 2020
Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj  

Adjointable Monoidal Functors and Quantum Groupoids [PDF]

, 2019
16 pp, AMS Latex, Talk given at "Hopf Algebras in Noncommutative Geometry and Physics", Brussels, June ...
openaire   +2 more sources

Parametrized stability and the universal property of global spectra

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen, Tobias Lenz, Sil Linskens   +2 more
wiley   +1 more source

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

Syntax-Semantics Interaction in Mathematics

Studia Semiotyczne, 2019
DOI: http://doi.org/10.26333/sts.xxxii2.06 MICHAEL HELLER SYNTAX–SEMANTICS INTERACTION IN MATHEMATICS SU M M A R Y: Mathematical tools of category theory are employed to study the syntax-semantics problem in the philosophy of mathematics.
Michael Heller
doaj  

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories [PDF]

, 2020
Alexander Zimmermann
openalex   +3 more sources

The six operations in topology

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley   +1 more source

The Gauss-Markov adjunction provides categorical semantics of residuals in supervised learning

Discover Artificial Intelligence
Enhancing the intelligibility and interpretability of machine learning is a crucial task in responding to the demand for Explicability as an AI principle, and in promoting the better social implementation of AI.
Moto Kamiura
doaj   +1 more source

Adjoints to a Fourier–Mukai functor

Advances in Mathematics, 2017
A result of Orlov proves that any fully faithful functor between derived categories of smooth projective varieties \(X\) and \(Y\) is isomorphic to a Fourier-Mukai functor \(\Phi^{X\rightarrow Y}_{\mathcal P}(\cdot)=R{\pi_{Y}}_{\ast}(L\pi_X^\ast(\cdot)\overset{L}{\otimes}\mathcal P):D_{\mathsf{Qch}}(X)\rightarrow D_{\mathsf{Qch}}(Y)\).
openaire   +2 more sources