Results 41 to 50 of about 96,536 (270)
Axioms for retrodiction: achieving time-reversal symmetry with a prior [PDF]
Quantum, 2023 We propose a category-theoretic definition of retrodiction and use it to exhibit a time-reversal symmetry for all quantum channels. We do this by introducing retrodiction families and functors, which capture many intuitive properties that retrodiction ...
Arthur J. Parzygnat, Francesco Buscemi
doaj +1 more source
A Lagrangian representation of tangles [PDF]
, 2004 We construct a functor from the category of oriented tangles in R^3 to the category of Hermitian modules and Lagrangian relations over Z[t,t^{-1}]. This functor extends the Burau representations of the braid groups and its generalization to string links ...
Cimasoni, David, Turaev, Vladimir
core +3 more sources
Induced (E,M)−structures on Topological Categories
Revista Integración, 2021 In this paper, we describe a convenient categorical structure with respect to a class of monomorphisms M and epimorphisms E for any topological category.
Juan Angoa Amador +2 more
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Homotopy in functor categories [PDF]
Transactions of the American Mathematical Society, 1982 If C is a small category enriched over topological spaces the category 5j c of continuous functors from C into topological spaces admits a family of homotopy theories associated with closed subcategories of C. The categories 'i c, for various C, are connected to one another by a functor calculus analogous to the 0, Hom calculus for modules over rings ...
openaire +1 more source
Hamiltonian reduction and nearby cycles for mirabolic D-modules [PDF]
, 2015 We study holonomic D-modules on SL_n(C)xC^n, called mirabolic modules, analogous to Lusztig's character sheaves. We describe the supports of simple mirabolic modules.
Bellamy, Gwyn, Ginzburg, Victor
core +1 more source
Homotopy theory of Moore flows (II)
Extracta Mathematicae, 2021 This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
doaj
Universal Properties in Quantum Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel.
Mathieu Huot, Sam Staton
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Serre Functors and Graded Categories
Algebras and Representation Theory, 2022 AbstractWe study Serre structures on categories enriched in pivotal monoidal categories, and apply this to study Serre structures on two types of graded k-linear categories: categories with group actions and categories with graded hom spaces. We check that Serre structures are preserved by taking orbit categories and skew group categories, and describe
openaire +4 more sources
Matrix factorizations for nonaffine LG-models [PDF]
, 2011 We propose a natural definition of a category of matrix factorizations for nonaffine Landau-Ginzburg models. For any LG-model we construct a fully faithful functor from the category of matrix factorizations defined in this way to the triangulated ...
A. Bondal +4 more
core +1 more source
Forum of Mathematics, SigmaWe introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.
Peter J. McNamara, Alistair Savage
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