Ayarlanmış Bağlantılar I: Bağlantılı Asal Gruploid Demetleri için Diferansiyel Kokücler

Özet (abstract)

Abstract We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid can be identified with a lift of the inner homomorphisms groupoid arising in Ševera’s differentiation procedure of Lie quasi-groupoids. Our new perspective readily extends to principal groupoid bundles, but requires an adjustment, an additional datum familiar from higher gauge theory. We show that for Lie groupoids, the additional adjustment data amounts to a Cartan connection. The resulting adjusted connections naturally provide a global formulation of the kinematical data of curved Yang–Mills–Higgs theories as described by Kotov–Strobl [47] and Fischer [32].

Yazarların özeti; kaynağından alınmıştır. Annales Henri Poincaré, 2026 · DOI ↗