Timeline for Simple examples of equivariant homology and bordism
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2011 at 15:26 | comment | added | Mark Grant | @Ryan, could you expand on what you mean by an "equivariant decomposition"? | |
| Dec 26, 2010 at 19:32 | vote | accept | Daniel Moskovich | ||
| Dec 22, 2010 at 14:51 | comment | added | HenrikRüping | note that $EG/H$ is just $BH$. | |
| Dec 22, 2010 at 14:44 | answer | added | HenrikRüping | timeline score: 2 | |
| Dec 8, 2010 at 9:38 | answer | added | Mark Grant | timeline score: 0 | |
| Dec 8, 2010 at 1:28 | comment | added | Ryan Budney | There's the case $X = \{*\}$, of course. Finite groups acting on surfaces would be a good source of examples in the case $G$ finite. If you want a continuous group, Seifert-fibred 3-manifolds with orientable fibres all have fixed-point free $SO_2$-actions but relatively diverse orbit decompositions. These could all be done with equivariant decompositions, together with knowledge of the homology of $EG/H$ for $H$ subgroups of $G$. I imagine other people will have far better suggestions but, not knowing any better that's where I'd start. | |
| Dec 7, 2010 at 20:59 | history | edited | Sean Tilson |
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| Dec 7, 2010 at 20:49 | history | asked | Daniel Moskovich | CC BY-SA 2.5 |