Timeline for Classification of complex structures on $\mathbb{R}^{2n}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2015 at 11:40 | vote | accept | asv | ||
| Apr 21, 2015 at 11:39 | history | edited | asv | CC BY-SA 3.0 |
added 91 characters in body
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| Apr 21, 2015 at 8:59 | answer | added | Daniele Zuddas | timeline score: 8 | |
| Apr 20, 2015 at 14:35 | comment | added | Iian Smythe | This paper of Hjorth and Kechris may be of interest: projecteuclid.org/euclid.ijm/1255984956. It deals with using descriptive set theory to understand the classification problem for arbitrary Riemann surfaces (not just structures on $\mathbb{R}^{2n}$), and shows that even in complex dimension $1$, this is extremely complicated (the "moduli space" is "Borel equivalent" to the quotient of $\{0,1\}^{F_2}$ by the left shift action of the free group $F_2$). For higher dimensions, it is more complicated ("not classifiable by countable structure" in the subject's parlance). | |
| Apr 20, 2015 at 13:47 | answer | added | Francesco Polizzi | timeline score: 20 | |
| Apr 20, 2015 at 13:41 | history | asked | asv | CC BY-SA 3.0 |