2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60758Let E be a circle-equivariant complex-orientable cohomology theory. We show that the fixed-point formula applied to the free loopspace of a manifold X can be understood as a Riemann-Roch formula for the quotient of the formal group of E by a free cyclic subgroup. The quotient is not representable, but (locally at p) its p-torsion subgroup is, by a p-divisible group of height one greater than the formal group of E.to appear in Contemporary Math. [The Milgram Festschrift, ed. A. Adem, R. Cohen, G. Carlsson]Algebraic TopologyMathematical PhysicsQuantum Algebra57R91,55N20; 14L05,19L10,55P92text