Sheaves for Diffeological Spaces

Derek Krepski; Jordan Watts

Sheaves for Diffeological Spaces

Research output: Other contribution

Abstract

We will define sheaves for diffeological spaces and give a construction of their \v{C]ech cohomology. As an application, given an abelian diffeological group $G$, we will show that the first degree \v{C}ech cohomology classes for the sheaf of smooth $G$-valued functioned classify diffeological principal $G$-bundles.

Original language	English
State	Published - Nov 2021

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title = "Sheaves for Diffeological Spaces",

abstract = "We will define sheaves for diffeological spaces and give a construction of their \v{C]ech cohomology. As an application, given an abelian diffeological group $G$, we will show that the first degree \v{C}ech cohomology classes for the sheaf of smooth $G$-valued functioned classify diffeological principal $G$-bundles.",

author = "Derek Krepski and Jordan Watts",

year = "2021",

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T1 - Sheaves for Diffeological Spaces

AU - Krepski, Derek

AU - Watts, Jordan

PY - 2021/11

Y1 - 2021/11

N2 - We will define sheaves for diffeological spaces and give a construction of their \v{C]ech cohomology. As an application, given an abelian diffeological group $G$, we will show that the first degree \v{C}ech cohomology classes for the sheaf of smooth $G$-valued functioned classify diffeological principal $G$-bundles.

AB - We will define sheaves for diffeological spaces and give a construction of their \v{C]ech cohomology. As an application, given an abelian diffeological group $G$, we will show that the first degree \v{C}ech cohomology classes for the sheaf of smooth $G$-valued functioned classify diffeological principal $G$-bundles.

UR - https://diffeology.net/index.php/seminar/

M3 - Other contribution

ER -

Sheaves for Diffeological Spaces

Abstract

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