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We show that the fixed-point formula in an equivariant complex-oriented cohomology theory $ E $ , applied to the free loop space of a manifold $ X $ , may be viewed as a ( renormalized ) Riemann-Roch formula for the quotient of the group law of $ E $ by a free cyclic subgroup . Examples of bad passwords include : time2go , big $ deal , ivyLeague , 2morrow , money $ , and Ivyleague . Additional donations ( in CDN $ , US $ or Eurofunds ) will be gratefully accepted . " Computer security researchers had determined that the XCP program hid files with a name that began with the characters $ sys $ , rather than the specific file names typically used for copyright enforcement . Let $ H $ be the Iwahori - - Hecke algebra associated with $ S_n $ , the symmetric group on $ n $ symbols . We study the behavior of the system when the Knudsen number $ \ e $ is small and the temperature difference between the walls as well as the velocity field is of order $ \ e $ , while the gravitational force is of order $ \ e ^ 2 $ . For a more general equivariant $ E $ , we show that the formal products which arise in this discussion may be naturally viewed as Thom classes for Thom prospectra as considered by Cohen-Jones-Segal .