Results 81 to 90 of about 100,519 (222)
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
Adjoint functor theorems for homotopically enriched categories [PDF]
Advances in Mathematics, 2020 John Bourke +2 more
semanticscholar +1 more source
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 +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 +3 more
wiley +1 more source
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
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 \(\Phi^{X\rightarrow Y}_{\mathcal P}(\cdot)=R{\pi_{Y}}_{\ast}(L\pi_X^\ast(\cdot)\overset{L}{\otimes}\mathcal P):D_{\mathsf{Qch}}(X)\rightarrow D_{\mathsf{Qch}}(Y)\).
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Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source