Timeline for Is the space of connections modulo gauge equivalence paracompact?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 21, 2017 at 9:59 | comment | added | David Roberts♦ | A stupid question: Is the action of the gauge transformations proper? An obvious reason why it wouldn't be is if any of the stabiliser groups are non-compact. | |
| Aug 21, 2017 at 8:59 | comment | added | Vít Tuček | @AlexWaldron It depends on the definition of Hilbert manifold. Sometimes metrizability / paracompactness is part of it (see e.g. map.mpim-bonn.mpg.de/Hilbert_manifold) but I suspect that this author just means manifold modelled on a Hilbert space. I should've included the word irreducible of course. Sorry for the omission. | |
| Aug 21, 2017 at 8:56 | history | edited | Vít Tuček | CC BY-SA 3.0 |
irreducible
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| Aug 19, 2017 at 19:31 | comment | added | Alex Waldron | The quotient is a Banach manifold (or Hilbert manifold?), away from the reducible connections (which are a major part of this question), but that does not imply paracompactness. | |
| Aug 19, 2017 at 8:57 | history | edited | Vít Tuček | CC BY-SA 3.0 |
gauge equivalence
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| Aug 19, 2017 at 2:19 | comment | added | Igor Belegradek | The question was about the quotient of this normed space by the gauge group, | |
| Aug 18, 2017 at 23:54 | history | answered | Vít Tuček | CC BY-SA 3.0 |