Timeline for Fundamental class in K-theory and orientability
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 15, 2014 at 16:55 | comment | added | John Klein | @Paul Siegel: don't you need a ring spectrum? | |
| Oct 14, 2014 at 22:07 | answer | added | Johannes Ebert | timeline score: 9 | |
| Oct 14, 2014 at 22:06 | comment | added | Nerses Aramian | This paper, may be of some use to you. | |
| Oct 14, 2014 at 17:13 | comment | added | Paul Siegel | Every (co)homology theory is represented by a spectrum, and orientability, orientations, and fundamental classes can all be expressed as structures associated to a spectrum. This is all worked out in Rudyak's book "On Thom Spectra, Orientability, and Cobordism". In particular chapter 5 works out the general theory (yielding the axiomatic description you want) and chapter 6 specializes to K-theory. | |
| Oct 14, 2014 at 16:58 | comment | added | Alex Degtyarev | Orientability of a vector bundle is the esistence of a Thom class. Orientability of a manifold = that of its tangent bundle. | |
| Oct 14, 2014 at 16:51 | history | asked | truebaran | CC BY-SA 3.0 |