Local theory for 2-functors on path 2-groupoids

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00477634" target="_blank" >RIV/67985840:_____/17:00477634 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s40062-016-0140-4" target="_blank" >http://dx.doi.org/10.1007/s40062-016-0140-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40062-016-0140-4" target="_blank" >10.1007/s40062-016-0140-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Local theory for 2-functors on path 2-groupoids

Popis výsledku v původním jazyce

This article is concerned with 2-functors defined on the path 2-groupoid of a smooth manifold. We set up a procedure to extract local data of such 2-functors, similar to the extraction of transition functions of a fibre bundle. The main result of this paper establishes an equivalence between the globally defined 2-functors and their local data. This is a contribution to a project that provides an axiomatic formulation of connections on (possibly non-abelian) gerbes in terms of 2-functors, of which the present paper provides the first part. The second part provides equivalences between the local data, on one side, and various existing versions of gerbes with connection on the other side.

Název v anglickém jazyce

Local theory for 2-functors on path 2-groupoids

Popis výsledku anglicky

This article is concerned with 2-functors defined on the path 2-groupoid of a smooth manifold. We set up a procedure to extract local data of such 2-functors, similar to the extraction of transition functions of a fibre bundle. The main result of this paper establishes an equivalence between the globally defined 2-functors and their local data. This is a contribution to a project that provides an axiomatic formulation of connections on (possibly non-abelian) gerbes in terms of 2-functors, of which the present paper provides the first part. The second part provides equivalences between the local data, on one side, and various existing versions of gerbes with connection on the other side.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Homotopy and Related Structures

ISSN

2193-8407

e-ISSN

—

Svazek periodika

12

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GE - Gruzie

Počet stran výsledku

42

Strana od-do

617-658

Kód UT WoS článku

000408700500004

EID výsledku v databázi Scopus

2-s2.0-85028601701