Timeline for Identifying the orientation bundle uniquely
Current License: CC BY-SA 2.5
11 events
| when toggle format | what | by | license | comment | |
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| Feb 7, 2011 at 10:59 | comment | added | berl1313 | Thank you for the answer. Could you please tell me the argument for this. So why is it the orientation-reversing involution? | |
| Feb 7, 2011 at 8:00 | comment | added | Oscar Randal-Williams | Yes, if it admits an orientation-reversing involution. | |
| Feb 6, 2011 at 21:13 | comment | added | berl1313 | You are right, so perhaps a better question is the following. Let there be a given surface $X$. Is there some method to find out if it is the orientation covering of some nonorientable surface? | |
| Feb 6, 2011 at 18:19 | comment | added | Dan Ramras | It's not at all clear to me that "the complex structure" makes sense. There are many complex structures on a compact, orientable surface. How would you associate one such structure to a surface, just based on the fact that it double covers something non-orientable? What would you like this structure to satisfy? | |
| Feb 5, 2011 at 16:43 | comment | added | berl1313 | I think my question was not precise. In fact, I was asking for the complex structure. The topological classification is clear as you all pointed out. | |
| Feb 4, 2011 at 20:18 | answer | added | Dan Ramras | timeline score: 1 | |
| Feb 4, 2011 at 14:08 | comment | added | Oscar Randal-Williams | This is not a question: you have a construction of a particular 2-fold covering space as the orientation cover (= sphere bundle of determinant bundle), and want to know whether it identifies a unique double cover. Of course it does, it is a construction. | |
| Feb 4, 2011 at 13:36 | answer | added | Mark Grant | timeline score: 1 | |
| Feb 4, 2011 at 13:01 | answer | added | Andrea Ferretti | timeline score: 7 | |
| Feb 4, 2011 at 11:57 | history | edited | berl1313 | CC BY-SA 2.5 |
added 131 characters in body
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| Feb 4, 2011 at 11:43 | history | asked | berl1313 | CC BY-SA 2.5 |