The Atiyah bundle and connections on a principal bundle
β Scribed by Indranil Biswas
- Book ID
- 107589389
- Publisher
- Indian Academy of Sciences
- Year
- 2010
- Tongue
- English
- Weight
- 177 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0253-4142
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π SIMILAR VOLUMES
Given a transitive action of a symmetry group \(G\) on the base space \(B\) of a non-Abelian principal bundle \(\mathscr{P}_{t}\) with a connection \(\omega\), we study the way this action can be lifted to a certain action of \(G\) on \(\mathscr{P}_{\omega}\) leaving invariant \(\omega\). We show th
BudzyΕski and Kondracki [Rep. Math. Phys. 37 (1996) 365] have introduced a notion of locally trivial quantum principal fibre bundle making use of an algebraic notion of covering, which allows a reconstruction of the bundle from local pieces. Following this approach, we construct covariant different