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math.DG2026
Symmetries and Higher-Form Connections in Derived Differential Geometry
Severin Bunk, Lukas Müller, Joost Nuiten +1
We introduce a general definition of higher-form connections on principal -bundles in differential geometry. This is achieved by developing the formal differentiation and i…
math.DG2025
The Cauchy problem for gradient generalized Ricci solitons on a bundle gerbe
Severin Bunk, Miguel Pino Carmona, C. S. Shahbazi
We prove well-posedness of the analytic Cauchy problem for gradient generalized Ricci solitons on an abelian bundle gerbe and solve the initial data equations on every compact Riem…
math.DG2025
The local moduli space of the Einstein-Yang-Mills system
Severin Bunk, Vicente Muñoz, C. S. Shahbazi
We study the deformation theory of the Einstein-Yang-Mills system on a principal bundle with a compact structure group over a compact manifold. We first construct, as an applicatio…