I am looking for some simple and concrete  but still nontrivial and illustrative  applications of AtiyahBott localization in the context of equivariant cohomology.
Do you know any good ones?
I am looking for some simple and concrete  but still nontrivial and illustrative  applications of AtiyahBott localization in the context of equivariant cohomology. Do you know any good ones? 


You want to read A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications, Atiyah and Bott, Ann. of Math., Vol. 88, No. 3 (Nov., 1968), pp. 451491 

