bio | website | guests.mpim-bonn.mpg.de/… |
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location | ||
age | ||
visits | member for | 3 years, 4 months |
seen | 15 hours ago | |
stats | profile views | 438 |
Postdoc at MPIM, Bonn
Sep 30 |
awarded | Explainer |
Sep 24 |
awarded | Autobiographer |
Sep 9 |
asked | Morava modules and completed $E$-homology |
Aug 29 |
comment |
Adams e-invariant
Another nice paper is by Behrens and Laures: arxiv.org/pdf/0809.1125v2.pdf |
Aug 19 |
answered | How nilpotent is the ring of stable homotopy groups of spheres? |
Jul 31 |
awarded | Enlightened |
Jul 31 |
awarded | Nice Answer |
Jul 28 |
awarded | Yearling |
Jul 27 |
comment |
$K$-homology of $BG$
Interesting! Apologies for the misinformation @KHBG |
Jul 26 |
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$K$-homology of $BG$
I believe not. By the Joachim and Lück paper the $n$-th local cohomology groups can identified with a colimit of $\text{Ext}^n$'s |
Jul 25 |
revised |
$K$-homology of $BG$
latex |
Jul 25 |
revised |
$K$-homology of $BG$
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Jul 25 |
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$K$-homology of $BG$
The $K$-homology groups are two-periodic. I think Greenlees' formula only holds for $i=0,1$, but then you can just use the periodicity. I'll edit the answer. |
Jul 25 |
revised |
$K$-homology of $BG$
Spelling, grammar |
Jul 25 |
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$K$-homology of $BG$
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Jul 25 |
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$K$-homology of $BG$
added 438 characters in body |
Jul 25 |
revised |
$K$-homology of $BG$
Latex and tags |
Jul 25 |
suggested | approved edit on $K$-homology of $BG$ |
Jul 25 |
answered | $K$-homology of $BG$ |
Jul 23 |
comment |
Detection of stable homotopy by K-theory spectra
This reminds a bit of Dustin Clausen's paper arxiv.org/abs/1110.5851. In particular the real J-homomorphism can be interpreted as a map of spectra $K(\mathbb{R}) \to \text{Pic}(\text{Sp})$. The author then constructs a "p-adic" version of this. Theorem 0.1 of cited document talks abou the image in the E(1)-local sphere. |