Timeline for Derived functors of symmetric powers
Current License: CC BY-SA 3.0
11 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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May 20, 2012 at 3:21 | vote | accept | Akhil Mathew | ||
May 17, 2012 at 14:05 | answer | added | Peter May | timeline score: 7 | |
May 16, 2012 at 7:23 | comment | added | M T | arxiv.org/abs/0911.0638 may be of interest | |
May 16, 2012 at 5:23 | comment | added | Tyler Lawson | The symmetric groups have complicated cohomology taken individually, but taken all together the homology possesses extra structure (Dyer-Lashof operations) that makes it simple to describe. A nice reference, if I remember correctly, is Bisson and Joyal's "Q-rings and the homology of the symmetric groups." (preprint here: hopf.math.purdue.edu/Bisson-Joyal/Luminy.pdf) | |
May 16, 2012 at 3:37 | comment | added | Akhil Mathew | (I haven't had a chance to read the paper yet, but I guess from there that the homology of symmetric groups is pretty complicated?) | |
May 16, 2012 at 0:12 | comment | added | Akhil Mathew | Thanks for the correction and the reference to the paper. | |
May 16, 2012 at 0:12 | history | edited | Akhil Mathew | CC BY-SA 3.0 |
added 18 characters in body
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May 15, 2012 at 23:03 | comment | added | Theo Johnson-Freyd | I believe that "I'm interested in the homotopy groups of the free simplicial commutative ring on Let $X_\bullet$ be a simplicial set" should probably be "I'm interested in the homotopy groups of the free simplicial commutative ring on A SIMPLICIAL SET. Let $X_\bullet$ be a simplicial set". Is this correct? | |
May 15, 2012 at 19:15 | comment | added | John Wiltshire-Gordon | I think some computations of higher homotopy groups of spheres can be rephrased as the derived functors of symmetric powers: arxiv.org/abs/1103.4580v1 | |
May 15, 2012 at 19:10 | history | asked | Akhil Mathew | CC BY-SA 3.0 |