The category of Z-graded manifolds: What happens if you do not stay positive

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50023089" target="_blank" >RIV/62690094:18470/24:50023089 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0926224524000020?pes=vor&utm_source=clarivate&getft_integrator=clarivate" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0926224524000020?pes=vor&utm_source=clarivate&getft_integrator=clarivate</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.difgeo.2024.102109" target="_blank" >10.1016/j.difgeo.2024.102109</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The category of Z-graded manifolds: What happens if you do not stay positive

Popis výsledku v původním jazyce

In this paper we discuss the categorical properties of Z-graded manifolds. We start by describing the local model paying special attention to the differences in comparison to the N-graded case. In particular we explain the origin of formality for the functional space and spell-out the structure of the power series. Then we make this construction intrinsic using a new type of filtrations. This sums up to proper definitions of objects and morphisms in the category. We also formulate the analog of the Borel&apos;s lemma for the functional spaces on Z-graded manifolds and the analogue of Batchelor&apos;s theorem for the global structure of them. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).

Název v anglickém jazyce

The category of Z-graded manifolds: What happens if you do not stay positive

Popis výsledku anglicky

In this paper we discuss the categorical properties of Z-graded manifolds. We start by describing the local model paying special attention to the differences in comparison to the N-graded case. In particular we explain the origin of formality for the functional space and spell-out the structure of the power series. Then we make this construction intrinsic using a new type of filtrations. This sums up to proper definitions of objects and morphisms in the category. We also formulate the analog of the Borel&apos;s lemma for the functional spaces on Z-graded manifolds and the analogue of Batchelor&apos;s theorem for the global structure of them. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).

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

2024

Kód důvěrnosti údajů

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

Název periodika

Differential Geometry and its Applications

ISSN

0926-2245

e-ISSN

1872-6984

Svazek periodika

93

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

"Article Number: 102109"

Kód UT WoS článku

001178233200001

EID výsledku v databázi Scopus

2-s2.0-85184068176