Timeline for algebraic proof of Atiyah-Bott fixed point formula?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 15, 2011 at 11:48 | vote | accept | Nicolás | ||
| Nov 15, 2011 at 8:45 | comment | added | Damian Rössler | @Niels : there is Thomason, R.: "Une formule de Lefschetz en K-theorie equivariante algebrique". Duke Math. J. 68 and then the original article of Baum-Fulton-Quart, "Lefschetz-Riemann-Roch for singular varieties", Acta Math. 143. The first one uses a concentration theorem in equivariant K-theory, whereas the second one (like the book by Fulton-Lang) uses deformation to the normal cone. | |
| Nov 15, 2011 at 8:35 | comment | added | Niels | @Damian : thanks for pointing this out. Do you have another reference for the case $f$ is of finite order besides Fulton-Lang and SGA 5 ? | |
| Nov 15, 2011 at 8:29 | comment | added | Damian Rössler | @Niels : in this reference, the formula is only proven for $f$ an automorphism of finite order. In that case, the formula can be proven without appealing to Grothendieck duality. | |
| Nov 15, 2011 at 8:18 | history | answered | Niels | CC BY-SA 3.0 |