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The suspended free loop space of a symmetric space

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arxiv math/0511086 v2 pith:7NZUQJ5W submitted 2005-11-03 math.AT math.DG

classification math.ATmath.DG
keywords spacefreeloopprojectivespacesspectrumsuspensionbundle
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Let M be one of the projective spaces CP^n, HP^n for n>1 or the Cayley projective plane OP^2, and let LM denote the free loop space on M. Using Morse theory methods, we prove that the suspension spectrum of (LM)_+ is homotopy equivalent to the suspension spectrum of M_+ wedge a family of Thom spaces of explicit vector bundles over the tangent sphere bundle of M.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch

    math.SG 2026-05 unverdicted novelty 7.0 of 10

    The authors relate the complex cobordism lift of symplectic cohomology to bulk-deformed symplectic cohomology via a homotopy coherent Grothendieck-Riemann-Roch theorem, provide a criterion for non-base-change cases, a...

  2. Ample divisor complements, Floer spectra, and relative Gromov-Witten theory

    math.SG 2026-01 conditional novelty 7.0 of 10

    The associated graded of the Floer homotopy type of an ample smooth divisor complement is computed, with the splitting obstruction encoded in a stable homotopy class from genus-0 relative Gromov–Witten moduli.

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