Publication detail

Weil modules and gauge bundles

KUREŠ, M.

Czech title

Weilovy moduly a kalibrační bandly

English title

Weil modules and gauge bundles

Type

journal article - other

Language

en

Original abstract

Finite dimensional modules over Weil algebras are investigated and corresponding gauge bundle functors from the category of vector bundles into the category of fibered manifolds are determined. The equivalence of two definitions of gauge Weil functors is proved and a number of geometric examples is presented, including a new description of vertical Weil bundles.

Czech abstract

Jsou vyšetřovány konečněrozměrné moduly nad Weilovými algebrami a popsány odpovídající kalibrační funktory z kategorie vectorových bandlů do kategorie fibrovaných variet. Je dokázána ekvivalence dvou definic kalibračního Weilova funktoru a uvedena řada geometrických příkladů včetně nového popisu vertikálních Weilových bandlů.

English abstract

Finite dimensional modules over Weil algebras are investigated and corresponding gauge bundle functors from the category of vector bundles into the category of fibered manifolds are determined. The equivalence of two definitions of gauge Weil functors is proved and a number of geometric examples is presented, including a new description of vertical Weil bundles.

Keywords in English

Weil algebra, product preserving bundle, gauge bundle functor, jet

RIV year

2006

Released

01.01.2006

ISSN

1439-8516

Journal

Acta Mathematica Sinica

Volume

22

Number

1

Pages from–to

271–278

Pages count

8

BIBTEX


@article{BUT46168,
  author="Miroslav {Kureš},
  title="Weil modules and gauge bundles",
  journal="Acta Mathematica Sinica",
  year="2006",
  volume="22",
  number="1",
  month="January",
  pages="271--278",
  issn="1439-8516"
}