3 papers
math.DG2026
Weak Lie 3-groups, 2-gerbes over torus fibrations of type F1, and T-Duality
Roberto Tellez-Dominguez
We construct a weak Lie 3-group from the 2-category of gerbes over and the -action on it by pullback a…
math-ph2025
Principal 3-Bundles with Adjusted Connections
Gianni Gagliardo, Christian Saemann, Roberto Tellez-Dominguez
We explore the notion of an adjusted connection for principal 3-bundles. We first derive the explicit form of an adjustment datum for 3-term -algebras, which allows us to…
math.DG2023
Chern correspondence for higher principal bundles
Roberto Tellez-Dominguez
The classical Chern correspondence states that a choice of Hermitian metric on a holomorphic vector bundle determines uniquely a unitary 'Chern connection'. This basic principle in…