Results 151 to 160 of about 86,229 (173)

Six-functor-formalisms and fibered multiderivators

Selecta Mathematica, 2016
We develop the theory of (op)fibrations of 2-multicategories and use it to define abstract six-functor-formalisms. We also give axioms for Wirthmüller and Grothendieck formalisms (where either $$f^{!}=f^{*}$$f!=f∗ or $$f_{!}=f_{*}$$f!=f∗) or intermediate
F. Hörmann
semanticscholar   +1 more source

REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS

Mathematics of the USSR-Izvestiya, 1990
This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality
Alexey Bondal, M. Kapranov
openaire   +2 more sources

Homotopical Properties of the Simplicial Maurer–Cartan Functor

, 2016
We consider the category whose objects are filtered, or complete, L ∞ -algebras and whose morphisms are ∞-morphisms which respect the filtrations. We then discuss the homotopical properties of the Getzler–Hinich simplicial Maurer–Cartan functor which ...
Christopher L. Rogers
semanticscholar   +1 more source

Behavioral Metrics via Functor Lifting

Foundations of Software Technology and Theoretical Computer Science, 2014
We study behavioral metrics in an abstract coalgebraic setting. Given a coalgebra alpha: X -> FX in Set, where the functor F specifies the branching type, we define a framework for deriving pseudometrics on X which measure the behavioral distance of ...
Paolo Baldan, F. Bonchi, Henning Kerstan, B. König   +3 more
semanticscholar   +1 more source

A formula for the geometric Jacquet functor and its character sheaf analogue

, 2015
Let (G,K) be a symmetric pair over the complex numbers, and let $${X=K \backslash G}$$X=K\G be the corresponding symmetric space. In this paper we study a nearby cycles functor associated to a degeneration of X to $${MN \backslash G}$$MN\G, which we call
Tsao-Hsien Chen, Alexander Yom Din
semanticscholar   +1 more source

An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves

Inventiones Mathematicae, 2014
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, M. Bergh, A. Neeman
semanticscholar   +1 more source

An adjunction formula for the Emerton–Jacquet functor

, 2015
The Emerton–Jacquet functor is a tool for studying locally analytic representations of p-adic Lie groups. It provides a way to access the theory of p-adic automorphic forms.
John Bergdall, Przemyslaw Chojecki
semanticscholar   +1 more source

Functor homology and homology of commutative monoids

Semigroup Forum, 2014
We show that methods of functor homology can be applied to monoids.
R. Kurdiani, T. Pirashvili
semanticscholar   +1 more source

Trace as an Alternative Decategorification Functor

, 2014
Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called “decategorification” functor.
A. Beliakova, Z. Guliyev, K. Habiro, Aaron D. Lauda   +3 more
semanticscholar   +1 more source

Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P^1_{a,b,c}

, 2013
This paper gives a new way of constructing Landau-Ginzburg mirrors using deformation theory of Lagrangian immersions motivated by the works of Seidel, Strominger-Yau-Zaslow and Fukaya-Oh-Ohta-Ono. Moreover we construct a canonical functor from the Fukaya
Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau   +2 more
semanticscholar   +1 more source