The phrase "(co)simplicial (pre)sheaf" can be reasonably interpreted in multiple ways. In this survey we study how the various notions familiar to the author relate to one another. We end by giving some example applications of the most general of these notions.Comment: 20 pages, comments welcom
Let X be a simplicial object in a small Grothendieck site C, and let G be a sheaf of groups on C. We...
A geometric stack is a quasi-compact and semi-separated algebraic stack. We prove that the quasi-coh...
Intersection (co)homology is a way to enhance classical (co)homology, allowing us to use a famous re...
AbstractThere are two approaches to the homotopy theory of simplicial (pre-)sheaves. One developed b...
This document details the body of theory necessary to explicitly construct sheaves of sets on a site...
We study the extension of higher presheaves on a category $C$ to its free cocompletion $\hat{C}$. An...
An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheav...
We highlight some features of the SimplicialComplexes package in Macaulay2.Comment: 8 pages, 2 figur...
The theory of sheaves has come to play a central rôle in the theories of several complex variables ...
We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of com...
We construct a sheaf-theoretic analogue of the wrapped Fukaya category in Lagrangian Floer theory, b...
We extend the classic definition of sheaves on locales introducing an original notion of sheaves on ...
The theory of sheaves has come to play a central rôle in the theories of several complex variables ...
The notion of sheaf quantization has many faces: an enhancement of the notion of constructible sheav...
Abstract. A fast introduction to the the construction of the cohomology of sheaves pioneered by A. G...
Let X be a simplicial object in a small Grothendieck site C, and let G be a sheaf of groups on C. We...
A geometric stack is a quasi-compact and semi-separated algebraic stack. We prove that the quasi-coh...
Intersection (co)homology is a way to enhance classical (co)homology, allowing us to use a famous re...
AbstractThere are two approaches to the homotopy theory of simplicial (pre-)sheaves. One developed b...
This document details the body of theory necessary to explicitly construct sheaves of sets on a site...
We study the extension of higher presheaves on a category $C$ to its free cocompletion $\hat{C}$. An...
An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheav...
We highlight some features of the SimplicialComplexes package in Macaulay2.Comment: 8 pages, 2 figur...
The theory of sheaves has come to play a central rôle in the theories of several complex variables ...
We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of com...
We construct a sheaf-theoretic analogue of the wrapped Fukaya category in Lagrangian Floer theory, b...
We extend the classic definition of sheaves on locales introducing an original notion of sheaves on ...
The theory of sheaves has come to play a central rôle in the theories of several complex variables ...
The notion of sheaf quantization has many faces: an enhancement of the notion of constructible sheav...
Abstract. A fast introduction to the the construction of the cohomology of sheaves pioneered by A. G...
Let X be a simplicial object in a small Grothendieck site C, and let G be a sheaf of groups on C. We...
A geometric stack is a quasi-compact and semi-separated algebraic stack. We prove that the quasi-coh...
Intersection (co)homology is a way to enhance classical (co)homology, allowing us to use a famous re...
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