Is there any reference for equivariant RiemannRoch formula: book, paper, notes or something? I want to compute the weight of the action of C^* on the top wedge of cohomology group.
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$\begingroup$ Take a look at this paper ams.org/journals/jams/1996902/S089403479600197X/… $\endgroup$ – YangMills Jul 13 '12 at 13:44

$\begingroup$ Are you trying to understand why the DonaldsonFutaki invariant equals the classical Futaki invariant? $\endgroup$ – YangMills Jul 13 '12 at 14:01

$\begingroup$ yeah,I am trying to use it to compute DonaldsonFutaki invariant of some examples such as MukaiTian type 3fold in Arezzo & Vedova's paper. $\endgroup$ – yee yao Jul 14 '12 at 8:57