Results 11 to 20 of about 1,689,750 (280)
Topological field theories and symmetry protected topological phases with fusion category symmetries [PDF]
Journal of High Energy Physics, 2021 Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using topological ...
Kansei Inamura
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From Morphism Categories to Functor Categories
Bulletin of the Malaysian Mathematical Sciences Society, 2023 29 pages, an improved version of a paper with the same title, which was submitted ...
Hafezi, Rasool, Eshraghi, Hossein
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The category of extensions and a characterisation of n-exangulated functors [PDF]
Mathematische Zeitschrift, 2023 Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important structural information.
Raphael Bennett‐Tennenhaus +3 more
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Modified Traces and the Nakayama Functor [PDF]
Algebras and Representation Theory, 2021 We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M ${\mathscr{M}}$ , we introduce the notion of a Σ -twisted trace on the class Proj (
Taiki Shibata, K. Shimizu
semanticscholar +1 more source
t-Structures with Grothendieck hearts via functor categories [PDF]
Selecta Mathematica, 2020 We study when the heart of a t -structure in a triangulated category $$\mathcal {D}$$ D with coproducts is AB5 or a Grothendieck category. If $$\mathcal {D}$$ D satisfies Brown representability, a t -structure has an AB5 heart with an injective ...
Manuel Saor'in, Jan Šťovíček
semanticscholar +1 more source
An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves
Inventiones Mathematicae, 2019 Orlov’s famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a Fourier–Mukai functor.
Alice Rizzardo +2 more
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Backprop as Functor: A compositional perspective on supervised learning [PDF]
Logic in Computer Science, 2017 A supervised learning algorithm searches over a set of functions $A\rightarrow B$ parametrised by a space $P$ to find the best approximation to some ideal function $f:A\rightarrow B$. It does this by taking examples $(a, f(a))\in A\times B$, and updating
Brendan Fong +2 more
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Crossed Corner and Reduced Simplicial Commutative Algebras
Journal of New Theory, 2023 In this paper, we describe the crossed corner of commutative algebras and present the relation between the category of crossed corners of commutative algebras and the category of reduced simplicial commutative algebras with Moore complex of length 2.
Özgün Gürmen Alansal
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Completeness for the coalgebraic cover modality [PDF]
Logical Methods in Computer Science, 2012 We study the finitary version of the coalgebraic logic introduced by L. Moss. The syntax of this logic, which is introduced uniformly with respect to a coalgebraic type functor, required to preserve weak pullbacks, extends that of classical propositional
Clemens Kupke +2 more
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On the derived category of the Iwahori–Hecke algebra [PDF]
Compositio Mathematica, 2020 We state a conjecture that relates the derived category of smooth representations of a $p$-adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters.
E. Hellmann
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