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math.DG2024
Topology and approximation of weak -bundles in the supercritical dimensions
Swarnendu Sil
For analyzing stationary Yang-Mills connections in higher dimensions, one has to work with Morrey-Sobolev bundles and connections. The transition maps for a Morrey-Sobolev principa…
math.DG2019★ 1 cited
Topology of weak -bundles via Coulomb gauges in critical dimensions
Swarnendu Sil
The transition maps for a Sobolev -bundle are not continuous in the critical dimension and thus the usual notion of topology does not make sense. In this work, we show that if s…