Homotopy types of Spin c(n) -gauge groups over S4
| Autor: | Rea, Simon |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Popis: | The gauge group of a principal G-bundle P over a space X is the group of G-equivariant homeomorphisms of P that cover the identity on X. We consider the gauge groups of bundles over S4 with Spin c(n) , the complex spin group, as structure group and show how the study of their homotopy types reduces to that of Spin (n) -gauge groups over S4 . We then advance on what is known by providing a partial classification for Spin (7) - and Spin (8) -gauge groups over S4 . |
| Databáze: | OpenAIRE |
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