The stack of Yang–Mills fields on Lorentzian manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488852" target="_blank" >RIV/67985840:_____/18:00488852 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00220-018-3120-1" target="_blank" >http://dx.doi.org/10.1007/s00220-018-3120-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-018-3120-1" target="_blank" >10.1007/s00220-018-3120-1</a>

Result language
angličtina
Original language name
The stack of Yang–Mills fields on Lorentzian manifolds
Original language description
We provide an abstract definition and an explicit construction of the stack of non-Abelian Yang–Mills fields on globally hyperbolic Lorentzian manifolds. We also formulate a stacky version of the Yang–Mills Cauchy problem and show that its well-posedness is equivalent to a whole family of parametrized PDE problems. Our work is based on the homotopy theoretical approach to stacks proposed in Hollander (Isr. J. Math. 163:93–124, 2008), which we shall extend by further constructions that are relevant for our purposes. In particular, we will clarify the concretification of mapping stacks to classifying stacks such as BGcon.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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