A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space

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dc.creatorAndo, Matthew
dc.creatorMorava, Jack
dc.date2001-01-14
dc.date.accessioned2026-07-07T04:39:40Z
dc.date.available2026-07-07T04:39:40Z
dc.descriptionLet 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.
dc.descriptionto appear in Contemporary Math. [The Milgram Festschrift, ed. A. Adem, R. Cohen, G. Carlsson]
dc.identifierhttps://arxiv.org/abs/math/0101121
dc.identifierhttp://arxiv.org/abs/math/0101121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60758
dc.subjectAlgebraic Topology
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject57R91,55N20; 14L05,19L10,55P92
dc.titleA renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space
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