Timeline for Easy way to define positive higher K groups?
Current License: CC BY-SA 2.5
4 events
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| Nov 28, 2012 at 23:46 | comment | added | Jesse Wolfson | I said "essentially" because I hadn't (and haven't) had a chance to thoroughly translate Karoubi's formalism into ABS. I understand the ABS map to be an isomorphism for all p and q, and nice X (probably finite CW complexes), but I haven't worked through it to the point where I can guarantee there's not a subtlety I'm missing. By a graded bundle of modules, I mean a Z/2-graded vector bundle (locally trivial, finite dimensional) equipped with an action of C^{p,q} respecting the grading and the fibers. | |
| Nov 18, 2012 at 23:17 | comment | added | Dmitri Pavlov | When you say “essentially extends this for any X”, do you mean that M^{p,q}(X) is isomorphic to K^{q−p}(X) for all p, q, and X? When you say “graded bundles of modules”, do you mean locally trivial finite-dimensional vector bundles equipped with an action of C^{p,q}? | |
| Dec 5, 2010 at 20:39 | history | edited | Jesse Wolfson | CC BY-SA 2.5 |
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| Dec 5, 2010 at 17:47 | history | answered | Jesse Wolfson | CC BY-SA 2.5 |